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Transcript
Math 10
Exam 5: Chapter 13
Name
W C
Each problem is worth 10 points. You must show all work to receive full credit.
1. State whether each statement is true or false.
a. A normal distribution has a bell shaped curve.
T
b. The symbol, a, is used to indicate the standard deviation of a sample, and
the symbol, s, is used to indicate the standard deviation of a population.
c. A standard deviation is an average of the data.
^
d. Averages are referred to as the measures of central tendency.
T
e. Every 10* iPod checked for defects coming off an assembly line is an
example of a stratified sample.
f
f
In a frequency distribution, the class with the greatest frequency is called
the modal class.
g. The mean is found by putting the data in order and choosing the middle data value.
h. The mean of a set of data will always have a z-score of 0.
i.
A piece of data that has a negative z-score is above the mean.
j.
The measures of dispersion that measures how much the data differ from the
mean is called the range.
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2. Choose the sampling technique that best describes each statement.
i.
When a sample is obtained by drawing every nth item, the sample is
called a(n)
C
sample.
ii. If a sample is drawn in such a way that each time an item is selected,
each item in the population has an equal chance of being drawn, the
sample is called a(n) (K^ sample.
a. Random
b. Cluster
c. Systematic
iii. When a population is divided into parts, called strata, for the purpose
of drawing a sample, the procedure is known as ('\.
d. Stratified
iv. A sample that consists of a random selection of groups or units is
called a(n) _ _ b ^ _ sample.
e. Convenience
V. A sample that uses data that are easily or readily obtained is called
^(n)
sample.
f
Population
3. The cost for Florida residents to attend the University of Florida for the 2010 -2011 school year was
$14,570. The circle graph below shows the percentage of that cost for tuition/fees, room, board, and
computer costs. Detemine the cost, in dollars, for each category.
Cost to Attend the University of Florida
Computer costs = $
—-1
r
for 2010-2011
Computer costs
6.2%
Board
22.9%
V Tuition/Fees
1
Room
36.4%
Tuition/Fees = $
^
Room - $
2i4_s%
Board = $
4. A mean average of 80 or greater for five exams is needed for a final grade of B in a course. Say your
first four exam grades are 73, 69, 85, and 80.
a. What grade do you need on the fifth exam to get a B in the course?
0
b. Say your lowest grade of the exams already taken is to be dropped, what grade must you receive on
your last exam to receive a B in the course?
/
5. Match the distributions to each name.
\. <:-.RfdctY^v\ar
a. J-Shaped
h. Normal
I • I
iv. b Morm\
1I1
c. Rectangular
It I I I
d. Unbiased
V.
e. Skewed
f.
(a)
(h)
6. For the set of data 23, 37, 43, 28, 43, and 45,
a. Find the mean (Round to the nearest tenth if necessarj):
6P
b. Find the median:
^3 ^t>(|^^9^-2> M5
ga=\Ho\
c. Find the mode:
d. Find the range:
G
Bimodal
Below is a list of survey results of daily travel times, in minutes. Create a frequency distribution table,
where the first class is 25-30.
26
28
35
46
49
56
26
30
36
46
49
58
26
32
40
47
50
58
26
32
44
47
52
62
27
35
46
47
54
66
Time Traveled
Frequency
\
55-60
Using the frequency table in problem #7, create a histogram of the data.
5
3
2
9. Below is a list of exam results of 13 students. Find the standard deviation of the data.
50, 60, 60, 60, 70, 70, 70, 70, 70, 80, 80, 80, 90
X
dm.
bo
^OCM - J ^ ^ '
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10. Assume the amount of time that it takes to prepare and deliver a pizza from Party Time Pizza is
normally distributed with a mean of 20 minutes and a standard deviation of 5 minutes. Determine the
percent of pizzas that were prepared and delivered ...
a.
in 16 minutes or less.
16 2JC
b. in more than 26 minutes.
Z^ic
TO
£fc
c. between 18 to 23 minutes.
d. Rounding to the nearest pizza, if 300 pizzas are selected at random, how many pizzas will be
prepared and delivered in more than 30 minutes?
^
30
Extra Credit (up to 10 points)
Say you want to buy a house $113,500. The taxes on the house are $1200 per year, and homeowners' insurance
is $320 per year. You want a conventional 10% interest rate loan requiring a 15% down payment and 3 points.
Your gross income is $3990, but you have more than 10 monthly payments remaining on a car and a credit card,
totaling $420.
Number of Years
Rale "S
10
15
4.1)
$10.12451
S7.3W)S«
4S
10.36.184
7.64993
5ja
10.60655
7.90794
5.3
10.M52(,3
«. i 70S3
6.0
11.10205
»,438.'>7
6.5
I1.354W)
8.71107
7.0
11.61085
8.98828
I. 5
I1.S70IS
9,27012
8.0
12.1.1276
9.55652
S.5
12.-WS57
9.84740
<).0
12.6675X
10.14267
9.5
12.^3976
10.4-1225
10.0
13.21507
10.74605
10.5
13.49.150
I 1.05399
no
13.775(KI
11.36597
II. 5
14.05954
II.681'JO
12.0
14.34709
I2.(K>I68
2(1
a. Determine the required down payment.
h. Determine the cost of the 3 points.
[le m e c o s i o i m e J p o i n x s .
i
^
^ \_,
c. Determine the monthly payments of the principal and interest for a 20-year loan.
d. Determine the total monthly payments, including homeowners' insurance and taxes.
e. Determine whether or not you qualify for the loan by being within 28% of your adjusted monthly
income.