Download sample test 1 summer 2010.tst

Sample Test 1
Math 1107
DeMaio
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) A town's average snowfall is 46 inches per year with a standard deviation of 10 inches. Using a
Normal model, what values should border the middle 68% of the model?
1)
A) 46 inches and 42.6 inches
B) 56 inches and 36 inches
C) 66 inches and 26 inches
D) 51 inches and 41 inches
E) 48 inches and 44 inches
2) The coefficient of variation, expressed as a percent, is used to describe the standard deviation
relative to the mean. It allows us to compare variability of data sets with different measurement
units and is calculated as follows:
2)
coefficient of variation = 100 (s/x )
Find the coefficient of variation for the following sample of weights (in pounds):
160
154
121
172
A) 26.9%
186
125
105
116
197
125
B) 19.2%
C) 24.0%
D) 21.9%
3) Here are costs (in dollars) of 12 electric smoothtop ranges. Find the range.
3)
860 1000 650 560 1460 1100
700 760 810 1300 550 1060
A) $900
B) $910
C) $890
D) $920
E) $930
4) For a recent English exam, use the Normal model N(73, 9.2) to find the percent of scores over 85.
Round to the nearest tenth of a percent.
A) 8.1%
B) 90.3%
C) 11.5%
D) 9.7%
E) 88.5%
5) The plastic arrow on a spinner for a child's game stops rotating to point at a color that will
determine what happens next. Determine whether the following probability assignment is
legitimate.
Probability of . . .
Red Yellow Green Blue
0.40 0.50
-0.60
0.70
A) Legitimate
B) Not legitimate
1
4)
5)
6) The volumes of soda in quart soda bottles can be described by a Normal model with a mean of 32.3
oz and a standard deviation of 1.2 oz. What percentage of bottles can we expect to have a volume
less than 32 oz?
A) 59.87%
B) 40.13%
C) 9.87%
D) 38.21%
E) 47.15%
7) Human body temperatures are normally distributed with a mean of 98.20eF and a standard
deviation of 0.62e F. Find the temperature that separates the top 7% from the bottom 93%.
A) 98.40eF
B) 98.78eF
C) 97.28eF
B) 11.4 years
C) 10.2 years
B) 42.37%
C) 93.32%
D) 43.32%
8)
D) 8.4 years
9) A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model
with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, what
percentage can be expected to be between 200 and 275?
A) 5.00%
7)
D) 99.12eF
8) Suppose that replacement times for washing machines are normally distributed with a mean of 9.9
years and a standard deviation of 1.6 years. Find the replacement time that separates the top 18%
from the bottom 82%.
A) 10.7 years
6)
9)
E) 6.68%
Determine whether the events are disjoint, independent, neither, or both.
10) In rolling a fair die twice, the events of getting a 2 on the first roll and a 4 on the second
A) Disjoint
B) Independent
C) Neither
10)
D) Both
Find the indicated probability.
11) On a multiple choice test, each question has 7 possible answers. If you make a random guess on the
first question, what is the probability that you are correct?
1
D) 0
A) 7
B) 1
C)
7
11)
12) A class consists of 82 women and 40 men. If a student is randomly selected, what is the probability
that the student is a woman?
1
20
41
41
A)
B)
C)
D)
122
61
20
61
12)
13) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a
standard deviation of $45. What is the probability that a randomly selected teacher earns more than
$525 a week?
13)
A) 0.1003
B) 0.7823
C) 0.2823
D) 0.2177
14) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice
will be 5?
1
5
8
B) 4
C)
D)
A)
9
6
9
2
14)
Use summary statistics to answer the question.
15) Here are some statistics for the annual Wildcat golf tournament: lowest score = 60, mean
score = 93, median = 101, range = 90, IQR = 96, Q1 = 37, standard deviation = 12. Suppose it was
very windy and all the golfers' scores went up by 7 strokes. Tell the new value for each of the
summary statistics.
15)
A) Lowest score: 67, mean: 100, median: 108, range: 90, IQR: 96, Q1: 44, SD: 12
B) Lowest score: 67, mean: 100, median: 108, range: 83, IQR: 96, Q1: 44, SD: 12
C) Lowest score: 67, mean: 93, median: 101, range: 83, IQR: 96, Q1: 44, SD: 12
D) Lowest score: 67, mean: 100, median: 108, range: 83, IQR: 96, Q1: 44, SD: 19
E) Lowest score: 67, mean: 100, median: 108, range: 83, IQR: 103, Q1: 44, SD: 12
16) Here are some summary statistics for the size of forest fires last year: smallest fire = 77 acres,
mean = 419 acres, median = 419 acres, range = 7923 acres, IQR = 418, Q1 = 168, standard
deviation = 51 acres. Between what two values are the middle 50% of fire sizes found?
16)
A) 77 and 8000
B) 83.8 and 335.2
C) 209.5 and 419
D) 168 and 586
E) 104.75 and 314.25
Estimate the probability of the event.
17) Of 1262 people who came into a blood bank to give blood, 361 people had high blood pressure.
Estimate the probability that the next person who comes in to give blood will have high blood
pressure.
A) 0.205
B) 0.254
C) 0.286
17)
D) 0.337
Solve the problem. Round to the nearest tenth.
18) Based on the Normal model for snowfall in a certain town N(57, 8), how many inches of snow
would represent the 75th percentile?
A) 65 inches
B) 49 inches
C) 62.4 inches
D) 51.6 inches
18)
E) 42.8 inches
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
19) A body temperature of 96.8e F given that human body temperatures have a mean of 98.20e F and a
standard deviation of 0.62e .
A) 2.2; unusual
B) -1.4; not ususal
C) -2.2; unusual
D) -2.2; not unusual
19)
Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
20) 15, 42, 53, 7, 9, 12, 14, 28, 47
A) 29.1
20)
B) 17.8
C) 15.8
3
D) 16.6
Find the number of standard deviations from the mean. Round to the nearest hundredths.
21) The average number of pounds of sugar a person eats per year is 8 pounds with a standard
deviation of 1.5 pounds. How many standard deviations from the mean is the consumption of 11
pounds of sugar?
21)
A) About 2.00 standard deviations above the mean
B) About 2.00 standard deviations below the mean
C) About 1.00 standard deviations below the mean
D) About 1.00 standard deviations above the mean
E) About 5.33 standard deviations above the mean
Find the median for the given sample data.
22) A store manager kept track of the number of newspapers sold each week over a seven-week
period. The results are shown below.
65, 35, 214, 144, 255, 247, 240
22)
Find the median number of newspapers sold.
A) 240 newspapers
B) 171 newspapers
C) 144 newspapers
D) 214 newspapers
Find the mean for the given sample data.
23) The local Tupperware dealers earned these commissions last month:
23)
$4814.12 $1765.45 $4682.07 $1259.14
$1393.03 $2129.30 $2162.67
$2334.58 $3823.00 $1876.20
What was the mean commission earned? Round your answer to the nearest cent.
A) $2915.51
B) $3279.95
C) $2623.96
4
D) $2617.96
Answer Key
Testname: SAMPLE TEST 1 SUMMER 2010
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
B
D
B
D
B
B
D
B
D
B
C
D
D
C
A
D
C
C
C
B
A
D
C
5