Download Statistics Course Assignments By Ted Cann Assignment 1

Statistics
Course Assignments
By Ted Cann
Assignment 1- Send me an email with your contact information. Specifically:
a) Your name
b) A reachable phone number and email
c) Any pressing information regarding your personal situation that I may need to know.
1
Statistics
Assignment 2- Experimental Design
Name:____________________________________
Date:_____________________________________
1.
A researcher is attempting to determine if there is a correlation between upbringing and the committing
of sex crimes as an adult. Which of the following designs is the most appropriate for this observational
study?
(a)
Obtain a SRS of 4 year old children and follow their development up until the age of 18.
Obtain police records at ages 25, 35, 45, 55, 65…death to determine the number of sex
crimes committed and analyze.
(b)
Obtain a stratified random sample of 4 year old children (strata determined by race) and
follow their development to the age the subject moves out on their own. Obtain police
records at ages 25, 35, 45, 55, 65…death to determine the number of sex crimes
committed and analyze.
(c)
Obtain a VRS of individuals who are age 50. Distribute a survey that, among other
questions, polls the individual as to whether or not they have committed sex crimes and
analyze.
(d)
Obtain a SRS of 4 year old children and follow their development up until the age of 18.
Observe each individual as they live their daily lives, making certain to take special note
of the committing of sex crimes. Document and analyze.
2.
A study is conducted to determine if type of music listened to, has any affect on math test scores. Four
math classes are selected at random and given a test on basic math concepts. The students’ scores are
recorded and analyzed using comparative box-plots. A different type of music is played in each class
(rock, rap, country). Which of the following is most appropriate?
(a) There is one explanatory variable and three response variables.
(b) There are three levels of a single explanatory variable.
(c) There are three explanatory variables.
(d) There are three explanatory variables each with one treatment.
3. Which of the following are important in the design of experiments?
I.
Control of confounding variables
II.
Randomization in assigning subjects to different treatments
III.
Replication of the experiment using sufficient numbers of subjects
(A) I and II
(C) II and III
(B) I and III
(D) I, II, and III
(E) None of the above gives the complete set of true responses.
4. Which of the following are true about the design of matched-pair experiments?
I.
Each subject might receive both treatments.
II.
Each pair of subjects receives the identical treatment, and differences in their responses
are noted.
III.
Blocking is one form of matched-pair design.
(A) I only
(B) II only
(C) III only
(D) I and III (E) II and III
2
5.
A nutritionist believes that having each player take a vitamin pill before a game enhances the
performance of the football team. During the course of one season, each player takes a vitamin pill
before each game, and the team achieves a winning season for the first time in several years. Is this an
experiment or an observational study?
(A) An experiment, but with no reasonable conclusion possible about cause and effect
(B) An experiment, thus making cause and effect a reasonable conclusion
(C) An observational study, because there was no use of a control group
(D) An observational study, but a poorly designed one because randomization was not used
(E) An observational study, thus allowing a reasonable conclusion of association but not of
cause and effect
6.
A town has one high school, which buses students from urban, suburban, and rural communities.
Which of the following sample is recommended in studying attitudes toward tracking of students in
honors, regular, and below-grade classes?
(A) Convenience sample
(B) Simple random sample (SRS)
(C) Stratified sample
(D) Systematic sample
(E) Voluntary response sample
7.
A company has 1000 employees evenly distributed throughout five assembly plants. A sample of 30
employees is to be chosen as follows. Each of the five managers will be asked to place the 200 time
cards of their respective employees in a bag, shake them up and randomly draw out six names. The six
names from each plant will be put together to make up the sample. Will this method results a simple
random sample of the 1000 employees?
(A) Yes, because every employee has the same chance of being selected.
(B) Yes, because every plant is equally represented.
(C) Yes, because this is an example of stratified sampling, which is a special case of simple
random sampling.
(D) No, because the plants are chosen randomly.
(E) No, because not every group of 30 employees has the same chance of being selected.
8.
In a study on the effect of music on worker productivity, employees were told that a different genre of
background music would played each day and the corresponding production outputs noted. Every
change in music resulted in an increase in production. This is an example of
(A) the effect of a treatment unit.
(B) the placebo effect.
(C) the control group effect.
(D) sampling error.
(E) voluntary response bias.
3
9.
In one study on the effect that eating meat products has on weight level, an SRS of 500 subjects who
admitted to eating meat at least once a day had their weights compared with those of an independent
SRS of 500 people who claimed to be vegetarians. In a second study, an SRS of 500 subjects were
served at least one meat meal per day for 6 months, while an independent SRS of 500 others were
chosen to receive a strictly vegetarian diet for 6 months, with weights compared after 6 months.
(A) The first study is a controlled experiment, while the second is an observational study.
(B) The first study is an observational study, while the second is a controlled experiment.
(C) Both studies are controlled experiments.
(D) Both studies are observational studies.
(E) Each study is part controlled experiment and part observational study.
10.
Scenario: A student wishes to conduct a study to determine if there is a correlation between the number
of hours of homework assigned per week in math class and the grade earned in that class.
a.
Is this an observational study, or an experiment?
b.
What is the best (least-biased) method of sampling? What is the most practical method
of sampling that can be used in this particular case?
c.
Describe an effective method for conducting this study.
d.
What, if any, are the lurking variables?
e.
What do you expect the results of this experiment might be?
f.
Should randomization be used? Why or why not?
4
Statistics
Assignment 3
5
Statistics
Assignment 4- Measures of Center
Name:____________________________________
Date:_____________________________________
Problem Set Data:
6
Problem Set:
1.
2.
Answer the following questions based on the data given above.
With regard to the column entitled, “Reported Maternal Mortality Ratio.”
a.
Determine the mean, median, and mode.
b..
If you had to present this data to your classmates and could pick only one measure of central
tendency to describe the nature of the data, which would it be and why?
c.
What does the phrase “maternal deaths per 100,000 live births” mean?
d.
Determine the number of countries that have “Maternal Mortality” rates that are above the:
i.
mean
ii.
median
iii.
mode
Given the following data:
Country or territory
Iceland
Singapore
Japan
Sweden
Norway
Hong Kong
Finland
Czech Republic
Switzerland
South Korea
Infant mortality rate
(deaths/1,000 live births)
2.9
3.0
3.2
3.2
3.3
3.7
3.7
3.8
Under-five mortality rate
(deaths/1,000 live births)
3.9
4.1
4.2
4.0
4.4
4.7
4.7
4.8
4.1
5.1
4.1
4.8
a.
Determine the mean, median, and mode of the column entitled, “Infant Mortality Rate.”
b.
Organize the “Under-five mortality rate” column into a frequency table and determine the mean,
median, and mode using the techniques learned in class.
7
Statistics
Assignment 5- Measures of Spread
Name:____________________________________
Date:_____________________________________
1.
46.8
70.1
Listed below are the life expectancies (in years) of men in 28 countries.
67.8 70.9 74.1 44.2 58.2 37.3 55
62.9 63.6 68.6
51.7 53.2 51.6 63.5 73.6 69.4 73.8 69.8 55
68
a)
b)
c)
d)
2.
64.3
71.7
75.1
51.5
75.9
59.4
What are the maximum and minimum values?
What is the range of life expectancies?
What is the interquartile range?
Are there any outliers?
Find the standard deviation of the salaries listed below.
Salary ($)
28 000
30 000
32 000
34 000
36 000
38 000
Frequency
4
6
7
4
2
1
8
Statistics
Assignment 6- Measures of Position
Name:____________________________________
Date:_____________________________________
The following is a list of the known salaries for the New York Knicks for the 2010-2011 season.
Player
Amare Stoudemire
Eddy Curry
Raymond Felton
Ronny Turiaf
Kelenna Azubuike
Danilo Gallinari
Timofey Mozgov
Wilson Chandler
Anthony Randolph
Roger Mason
Toney Douglas
Bill Walker
Landry Fields
Patrick Ewing Jr.
Salary for
2010/11
$16,800,000
$11,276,863
$7,700,000
$4,000,000
$3,364,000
$3,304,560
$3,000,000
$2,130,481
$1,965,720
$1,400,000
$1,071,000
$854,389
$473,604
$473,604
1.
Determine the z-scores for Wilson Chandler and Eddy Curry.
2.
Determine the percentile rank for Danilo Galinari.
3.
Which player represents the 20th percentile? the 65th percentile?
Player
Amare Stoudemire
Eddy Curry
Raymond Felton
Ronny Turiaf
Kelenna Azubuike
Danilo Gallinari
Timofey Mozgov
Wilson Chandler
Anthony Randolph
Roger Mason
Toney Douglas
Bill Walker
Landry Fields
Patrick Ewing Jr.
PPG
2009/2010
23.1
3.7
12.1
4.9
13.9
15.1
No data
15.3
11.6
6.3
8.6
9.4
No data
No data
4.
Determine the z-scores for Wilson Chandler and Eddy Curry.
5.
Determine the percentile rank for Danilo Galinari.
6.
Which player represents the 20th percentile? the 65th percentile?
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Statistics
Assignment 7- Basic Probability, Addition Rule
Name:____________________________________
Date:_____________________________________
1.
There are 87 marbles in a bag and 68 of them are green. If one marble is chosen, what is the probability
that it will be green?
2.
Sal has a small bag of candy containing three green candies and two red candies. While waiting for the
bus, he ate two candies out of the bag, one after another, without looking. What is the probability that
both candies were the same color?
3.
If you roll two dice, what sum is most likely to come up?
4.
A card is chosen from a standard deck of 52. Find…
a)
P(a 4 or a diamond)
b)
P(a face card or a club)
c)
d)
P(a prime or an ace)
P(a black card or a card with a number)
5.
Jeff and George are skateboarders. Jeff successfully completes a certain stunt 1 out of every 5 attempts
while George completes the same stunt 1 out of every 4 attempts. Show how a venn diagram could be
used to determine the probability of Jeff or George successfully completing the stunt on the first
attempt. What is the probability?
6.
Olga places 10 squares, 10 triangles, and 10 rectangles in a hat. On each is placed on of the numbers
0,1,2,…,9. One shape is randomly selected from the hat, calculate each of the following.
a) P(square or a shape with an 8)
b) P(triangle or a shape with a 6)
c) P(rectangle or a shape with a 4)
d) P(rectangle or a shape with an even number)
e) P(square or a shape with an odd number)
f) P(any shape or any shape with a number on it)
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Statistics
Assignment 8- Basic Multiplication Rule
Name:____________________________________
Date:_____________________________________
1.
It's time to get up. You roll out of bed, eyes still closed, and stagger over to your sock drawer. You know
that you have three green socks, five red socks, eight blue socks, nine black socks, and twelve white
socks scattered at random in the drawer. How many socks will you need to withdraw (keeping your eyes
closed) in order to be sure you've got a matching pair?
2.
Alexi's wallet contains four $1 bills, three $5 bills, and one $10 bill. If Alexi randomly removes two bills
without replacement, determine whether the probability that the bills will total $15 is greater than the
probability that the bills will total $2.
3.
Using a pair of dice, what is the probability of throwing a sum of nine twice in a row?
4.
A player rolls a pair of dice and then picks a card from a deck of cards. What is the probability of
throwing a 10 and picking a club?
5.
Which of the following events are independent? Dependent?
a.
Throwing a 4 with one die and a 6 with another.
b.
Picking a 7 from a deck of cards, keeping it, and picking a jack.
c.
Flipping a tail with a coin and rolling a 4 with a die.
d.
Drawing a spade and drawing a heart from the same deck without replacing the first card.
e.
Picking two black marbles from a bag of black and white marbles after replacing the first one.
6.
Two letters are chosen, without replacement, at random from the English alphabet. If y is considered to
be a consonant, find the probability that
a)
both are vowels
b)
both are consonants.
7.
A bag contains 4 white, 3 blue, and 6 red marbles.
another marble is drawn. Find the probability that
a) both marbles are red
c) the first marble is red and the second is blue
e) neither is red
8.
A marble is drawn from the bag, replaced, and
b) both marbles are blue
d) one marble is red and the other is blue
f) do a-e again and do not replace the marble
A box has 3 hockey and 6 football cards.
a.
What is the probability of selecting a hockey card, keeping it out, and then selecting another
hockey card?
b.
What is the probability of selecting a hockey card, keeping it out, and then selecting a football
card?
11
Statistics
Name:____________________________________
Assignment 9- Complements and Conditional Probability
Date:_____________________________________
1.
A fair die is rolled 12 times. What is the probability of getting at least one three?
2.
If a couple has 3 children, what is the probability that at least one is a girl?
3.
A jar contains black and white marbles. Two marbles are chosen without replacement. The probability
of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black
marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw,
P( A and B)
given that the first marble drawn was black? (Hint: Must use P( B | A) 
P( A)
4.
In New York State, 48% of all teenagers own a skateboard and 39% of all teenagers own a
skateboard and roller blades. What is the probability that a teenager owns roller blades given that
the teenager owns a skateboard?
5.
Cocaine addicts need the drug to feel pleasure. Perhaps giving them a medication that fights depression
will help them stay off cocaine. A three-year study compared an antidepressant called desipramine with lithium
(a standard treatment for cocaine) and a placebo. The subjects were 72 chronic users of cocaine who wanted to
break their drug habit. Twenty-four of the subjects were randomly assigned to each treatment. After treatment
we measure whether or not the subject relapses into cocaine use.
In this study the subjects are the 72 cocaine addicts. Two variables – each categorical – are measured on each
subject: the treatment and whether or not the subject relapsed. We have a three groups of 24 people, each
classified in by whether or not there is a relapse. The number of people in each treatment group is fixed in
advance; the number of relapses is only known after we have the data.
Treatment
Desipramine
Lithium
Placebo
Total
a.
P( Relapse|Lithium)?
c.
Are Placebo and Relapse depdendent?
Relapse
10
18
20
48
No relapse
14
6
4
24
b.
Total
24
24
24
72
P(Placebo|No relapse)?
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Statistics
Assignment 10- Simulations
Name:____________________________________
Date:_____________________________________
Design a Simulation for each.
1.
On average, suppose a baseball player hits a home run once in every 10 times at bat, and suppose he gets
exactly two "at bats" in every game. Using a simulation, estimate the likelihood that the player will hit 2
home runs in a single game.
2.
Alex Rodriguez has hit a homerun approximately 6% of the time that he stepped to the plate. Conduct a
simulation to determine the number of times Alex Rodriguez will hit a home run in the next 70 times at
bat.
3.
Happy Birthday! There's a birthday in your class today! Or will there be two? How likely is it that two
people in your class have the same birthday? Say your class has 28 students. STATDISK may be
helpful with this problem.
13
Statistics
Assignment 11
Name:____________________________________
Date:_____________________________________
1.
How many different ways can the letters P, Q, R, S be arranged?
2.
There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random. How many
different ways are there of selecting the three balls?
3.
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always
appear together?
4.
How many different four letter words can be formed (the words need not be meaningful) using the
letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
5.
What is the probability that the position in which the consonants appear remain unchanged when the
letters of the word "Math" are re-arranged?
6.
There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in
such a way that at least 1 box contains a green ball and the boxes containing green balls are
consecutively numbered. The total number of ways in which this can be done is:
7.
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he
will hit his target?
8.
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of
the three post boxes?
9.
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
10.
In how many ways can the letters of the word "PROBLEM" be rearranged to make seven letter words
such that none of the letters repeat?
11.
In the National Lottery, 6 numbers are chosen from 49. You win if the 6 balls you pick match the six
balls selected by the machine. What is the probability of winning the National Lottery?
14
Statistics
Assignment 12- Probability Distributions
and Expected Value
1.
Name:____________________________________
Date:_____________________________________
Does the following refer to a probability distribution? If so, determine the mean and standard deviation.
Use the methods learned in class to determine if the following distribution is a normal distribution.
2
3
4
5
6
7
8
9
10 11 12
x
P(x) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
2.
Here is a problem taken from the 1988 Chartered Financial Analysts examination, which people
working in finance need to pass to make lots of money. Assume that stock in the Anheuser-Busch
Companies, Inc., returns the following percentages:
Annual Return Rate
20%
50%
30%
Probability
.20
.30
.50
15
Statistics
Assignment 13- Binomial Rules
Name:____________________________________
Date:_____________________________________
1.
Bob forgot that he had a Psychology test today and didn’t study. It is a multiple choice test consisting of
30 questions. Each question has 5 choices, one of which is the correct choice. He decides that he is going to
complete the test by guessing the answer for each question. What is the probability that he gets a
a.
100%?
b.
0?
c.
passing grade (at least 60% correct)?
d.
failing grade
2.
Based on the scenario in question #1, is a score of 25 out of 30 unusual?
3.
Repeat question number one assuming that there are only 4 choices per question.
16
Statistics
Assignment 14- Normal Distributions and CLT
Name:____________________________________
Date:_____________________________________
1.
In a standard normal distribution, find P(.25  z  2)
2.
Given a normal distribution of values for which the mean is 70 and the standard deviation is 4.5. Find:
a)
the probability that a value is between 65 and 80, inclusive.
b)
the probability that a value is greater than or equal to 75.
c)
the probability that a value is less than 62.
d)
the 90th percentile for this distribution.
3.
The lifetime of a battery is normally distributed with a mean life of 40 hours and a standard deviation of
1.2 hours. Find the probability that a randomly selected battery lasts longer than 42 hours.
4.
Bill claims that he can do more push-ups than 90% of the boys in his school. Last year, the average boy
did 50 push-ups, with a standard deviation of 10 pushups. Assume push-up performance is normally
distributed. How many pushups would Bill have to do to beat 90% of the other boys?
5.
The Acme Light Bulb Company has found that an average light bulb lasts 1000 hours with a standard
deviation of 100 hours. Assume that bulb life is normally distributed. What is the probability that a
randomly selected light bulb will burn out in 1200 hours or less?
6.
Graduate Management Aptitude Test (GMAT) scores are widely used by graduate schools of business as
an entrance requirement. Suppose that in one particular year, the mean score for the GMAT was 476,
with a standard deviation of 107. Assuming that the GMAT scores are normally distributed, answer the
following questions:
7.
a.
What is the probability that a randomly selected score from this GMAT falls between 476 &
650?
b.
What is the probability of receiving a score greater than 750 on this GMAT.
For women aged 18-24 systolic blood pressure (in mm Hg) is normally distributed with a mean of 114.8
and a standard deviation of 13.1 (based on data from the National Health Survey). Hypertension is
commonly defined as a systolic blood pressure above 140. Use the Central Limit Theorem to find the
following:
a.
If a woman between the ages of 18 and 24 is randomly selected, find the probability her systolic
blood pressure is greater than 140.
b.
If 4 women in that age bracket are randomly selected, find the probability that their mean
systolic blood pressure is greater than 140.
c.
If 16 women in that age bracket are randomly selected, find the robability that their mean
systolic blood pressure is greater than 100 and less than 120.
d.
If a physician is given a report stating that 4 women have a mean systolic blood pressure below
140, can she conclude that none of the women have hypertension (blood pressure greater than
140)?
17
Statistics
Assignment 15- Intro to hypothesis testing
Name:____________________________________
Date:_____________________________________
For each scenario below:
a) determine the null and alternative hypotheses.
b) write an appropriate conclusion based on the given p-value.
Recall: The conclusion template is as follows:
“There is (in)sufficient evidence to reject the claim that (state null hypothesis in words) at the (alpha)
significance level. Therefore, the claim that (state the alternative hypothesis in words) is (True or
False).
1.
A production line produces rulers that are supposed to be 12 inches long. A random sample of 49 rulers
were selected and it was determined that they had a mean of 12.1 inches and a standard deviation of .5
inches. The quality control specialist responsible for the production line decides to conduct a hypothesis
test at the 0.10 significance level to determine whether the production line is really producing rulers that
are 12 inches long. (p-value = 0.168)
2.
A sample of 20 freshmen at a local college had a mean cumulative GPA of 2.8 (and a standard deviation
of 0.125) in their first semester. The school’s president decides to conduct a hypothesis test at the 0.05
significance level to determine if the first semester GPA of all freshmen at her college is less than a B
(3.0). (p-value = 4.216 x10 7 )
3.
A statistics teacher wants to determine if a new book proposed for the course is better than
the book that was used before. The teacher does a little research and finds that the mean GPA of students
using the old textbook is 3.12. The teacher then collects a random sample of 30 students using the new
text book and determines their mean GPA is 3.251 with a standard deviation of 0.13. Test the claim that
the mean GPA for the old book is significantly lower than the class average for the new book at the 0.05
significance level.
(p-value = 2.998 x10 6 )
4.
A survey of 4000 people in the US finds that 2856 of them believe that, “daily weather reports are
totally useless because meteorology is not really a science.” At the 0.10 significance level, test the claim
that more than half of the people in the US believe that “daily weather reports are totally useless
because meteorology is not really a science.” (p-value = 0)
18
Statistics
Assignment 16- Hypothesis Test and CI Practice #1
One Population
Name:____________________________________
Date:_____________________________________
1.
Mike took 57 free throws. He made 31 of them. Use a 0.05 significance level to test the claim that the
population proportion of makes is greater than 50%.
2.
A sample of 11 paperback books was randomly selected from a population of paperback books in an
English classroom at Mahopac High School and the number of pages was recorded for each. Use a 0.01
significance level to test the claim that the population mean number of pages per books in the classroom
is different from 400 pages.
500
502
471
451
258
422
460
406
492
534
345
3.
Suppose that a production process is considered to be out of control if more than 3% of the items
produced are defective. Inspection of a random sample of 500 items produced in a particular week
revealed that 25 were defective. Use a 0.05 significance level to test the claim that the process was out
of control during that week. Construct a 95% confidence interval estimate of the population proportion
of defects during any given week.
4.
Recorded here are the germination times (number of days) for seven seeds of a new strain of snap bean.
12
16
15
20
17
11
18
Test the claim that the population mean number of germination days is more than 15 at the 0.01
significance level. Construct a 95% confidence interval estimate for the true mean germination time for
this strain.
19
Statistics
Assignment 17- Hypothesis Test and CI Practice #2
Two Populations
Name:____________________________________
Date:_____________________________________
1.
Two coins are flipped at random. Coin 1 is flipped 750 times with 379 tosses resulting in heads. Coin 2
is flipped 45 times with 22 tosses resulting in heads. Use a 0.10 significance level to test the claim that
there is no significant difference in population proportions of heads between the two sets.
2.
Cann’s Classes I:
Class A has 13 students. Class B has 36 students. Both classes took identical
tests on “Probability.” There were 5 passing papers in Class A and 23 passing papers in Class B. Use a
0.10 significance level to test the claim that there is no significant difference in population proportions
between the two classes. Construct a 90% confidence interval estimate of the true population proportion
difference.
3.
A group of 7 men were attempting to lose weight. They enroll in a program during which their diets are
strictly regulated. The men weigh in before beginning the program and then 30 days later. The results
are in the table below.
Weight 1
2
3
4
5
6
7
Before 216 195 200 160 201 153 247
After 204 193 187 158 181 151 225
At the 0.01 significance level, test the claim that the diet regulation was effective.
20
4.
Measures of the left- and right-hand gripping strengths of 10 left-handed writers are recorded:
Left
Hand
Right
Hand
1
140
2
90
3
125
4
129
5
95
Person
6
121
7
85
8
97
9
131
10
110
138
87
110
131
96
120
86
90
129
100
Test the claim that left-handed people have greater gripping strength in their left-hands as opposed to
their right hands. Construct a 99% confidence interval for the mean difference. What does your
confidence interval suggest about the equality of the two population means.
5.
Cann’s Classes II: Class A has 13 students. Class B has 36 students. Both classes took identical
tests on “Descriptive Statistics.” The mean and standard deviation for class A was 60 and 26.1
respectively. The mean and standard deviation for class B was 77 and 26.0 respectively. Use a 0.10
significance level to test the claim that there is no significant difference in population means between the
two classes. Construct a 90% confidence interval estimate of the true mean difference.
6.
The top 10 quarterbacks through week 12 in the NFL in the 2007-2008 season had a mean passing
yardage of 2781.313 and a standard deviation of 269.5404 yards. The top 5 quarterbacks through week
12 in the NFL in the 2008-2009 season have a mean passing yardage of 3084.4 and a standard deviation
of 297.356 yards. At the 0.05 significance level, test the claim that there was a significant increase in
passing yardage between the two seasons.
21
Statistics
Assignment 18- TVM Solver
Name:____________________________________
Date:_____________________________________
1.
Duke plans on purchasing a 3BR house in Scarsdale for $700,000. He takes out a mortgage for
$750,000 to pay for realtor expenses, the first few months of utilities and taxes, and for some minor
cosmetic work on the house. The mortgage he qualifies for is a 30 year loan at 9% nominal interest.
What will his monthly payment be if he somehow got away with putting $0 as a down payment? What
will his monthly payment be if he put $100,000 as a down payment? How much in total interest will be
paid over the life of the 30 year mortgage in each case?
N=
I%=
PV=
PMT=
FV=
P/Y=
C/Y=
PMT: END BEGIN
2.
N=
I%=
PV=
PMT=
FV=
P/Y=
C/Y=
PMT: END BEGIN
Revisit example 3 from the lesson. Professor X decides to consolidate his loans over a 20 year period at
6% interest. How much more in interest will he have paid than on the 10 year plan?
N=
I%=
PV=
PMT=
FV=
P/Y=
C/Y=
PMT: END BEGIN
22