The document provides information about admissions data from Kinzua University. It gives the estimated distribution of admissions based on past experience, with probabilities and expected admission numbers. It then asks to compute the expected number of admissions, variance, and standard deviation. The next section provides information about a sample of tax returns regarding charitable contributions and the probability of audited returns having certain deductions.

1. The director of admissions at Kinzua University in Nova Scotia
estimated the distribution of student admissions for the fall
semester on the basis of past experience.
Admissions
Probability
1,060
0.6
1,400
0.1
1,620
0.3
1.
What is the expected number of admissions for the fall
semester?
Expected number of admissions
2.
Compute the variance and the standard deviation of the number
of admissions. (Round your standard deviation to 2 decimal
places.)

2. Variance
Standard deviation
The Internal Revenue Service is studying the category of
charitable contributions. A sample of 32 returns is selected from
young couples between the ages of 20 and 35 who had an
adjusted gross income of more than $100,000. Of these 32
returns, 7 had charitable contributions of more than $1,000.
Suppose 6 of these returns are selected for a comprehensive
audit.
a
You should use the hypergeometric distribution is appropriate.
Because
b.
What is the probability exactly one of the six audited had a
charitable deduction of more than $1,000?(Round your answer
to 4 decimal places.)
Probability
c.
What is the probability at least one of the audited returns had a
charitable contribution of more than $1,000? (Round your
answer to 4 decimal places.)
Probability

3. According to the "January theory," if the stock market is up for
the month of January, it will be up for the year. If it is down in
January, it will be down for the year. According to an article
in The Wall Street Journal, this theory held for 25 out of the
last 34 years. Suppose there is no truth to this theory; that is,
the probability it is either up or down is 0.5.
What is the probability this could occur by chance? (Round your
answer to 6 decimal places.)
Probability
Customers experiencing technical difficulty with
their internet cable hookup may call an 800 number for
technical support. It takes the technician between 90 seconds
and 14 minutes to resolve the problem. The distribution of this
support time follows the uniform distribution.
a.
What are the values for a and b in minutes? (Do not round your
intermediate calculations. Round your answers to 1 decimal
place.)

4. a
b
b-1.
What is the mean time to resolve the problem? (Do not round
your intermediate calculations. Round your answer to 2 decimal
places.)
Mean
b-2.
What is the standard deviation of the time? (Do not round your
intermediate calculations. Round your answer to 2 decimal
places.)
Standard deviation
c.
What percent of the problems take more than 5 minutes to
resolve? (Do not round your intermediate calculations. Round
your answer to 2 decimal places.)
Percent
%
d.
Suppose we wish to find the middle 50% of the problem-solving
times. What are the end points of these two times? (Do not

5. round your intermediate calculations. Round your answers to 3
decimal places.)
End point 1
End point 2
A normal population has a mean of 20 and a standard deviation
of 4.
a.
Compute the z value associated with 24. (Round your answer to
2 decimal places.)
Z
b.
What proportion of the population is between 20 and
24? (Round z-score computation to 2 decimal places and your
final answer to 4 decimal places.)
Proportion
c.
What proportion of the population is less than 15? (Round z-
score computation to 2 decimal places and your final answer to
4 decimal places.)
Proportion

6. Assume that the hourly cost to operate a commercial airplane
follows the normal distribution with a mean of $5,500 per hour
and a standard deviation of $394.
What is the operating cost for the lowest 4% of the
airplanes? (Round z value to 2 decimal places and round final
answer to nearest whole dollar.)
Operating cost
$
The manufacturer of a laser printer reports the mean number of
pages a cartridge will print before it needs replacing is 12,400.
The distribution of pages printed per cartridge closely follows
the normal probability distribution and the standard deviation is
620 pages. The manufacturer wants to provide guidelines to
potential customers as to how long they can expect a cartridge
to last.
How many pages should the manufacturer advertise for each
cartridge if it wants to be correct 95 percent of the
time? (Round z value to 2 decimal places. Round your answer to
the nearest whole number.)
Pages
A study of long-distance phone calls made from General
Electric Corporate Headquarters in Fairfield, Connecticut,
revealed the length of the calls, in minutes, follows the normal
probability distribution. The mean length of time per call was
4.40 minutes and the standard deviation was 0.50 minutes.

7. a.
What fraction of the calls last between 4.40 and 5.20
minutes? (Round z-score computation to 2 decimal places and
your final answer to 4 decimal places.)
Fraction of calls
b.
What fraction of the calls last more than 5.20 minutes? (Round
z-score computation to 2 decimal places and your final answer
to 4 decimal places.)
Fraction of calls
c.
What fraction of the calls last between 5.20 and 6.00
minutes? (Round z-score computation to 2 decimal places and
your final answer to 4 decimal places.)
Fraction of calls
d.
What fraction of the calls last between 4.00 and 6.00
minutes? (Round z-score computation to 2 decimal places and
your final answer to 4 decimal places.)

8. Fraction of calls
e.
As part of her report to the president, the director of
communications would like to report the length of the longest
(in duration) 4 percent of the calls. What is this time? (Round z-
score computation to 2 decimal places and your final answer to
2 decimal places.)
Duration
a.
List all samples of size 3, and compute the mean of each
sample. (Round your mean value to 2 decimal places.)
Sample
Values
Sum
Mean
1
2
3

9. 4
5
6
7
8
9
10
b.
Compute the mean of the distribution of sample means and the
population mean. (Round your answers to 2 decimal places.)

10. Sample means
Population mean
The mean age at which men in the United States marry for the
first time follows the normal distribution with a mean of 24.8
years. The standard deviation of the distribution is 2.7 years.
For a random sample of 63 men, what is the likelihood that the
age at which they were married for the first time is less than 25
years? (Round z value to 2 decimal places. Round your answer
to 4 decimal places.)
Probability
rev: 04_04_2016_QC_CS-47404
Which of the following is an example of a continuous variable?
Tons of concrete to complete a parking garage
Number of students in a statistics class
Zip codes of shoppers
Rankings of baseball teams in a league
The incomes of 50 loan applicants are obtained. Which level of
measurement is income?
Nominal
Ordinal

11. Interval
Ratio
The members of each basketball team wear numbers on their
jerseys. What scale of measurement are these numbers
considered?
Nominal
Ordinal
Interval
Ratio
The reported unemployment is 5.5% of the population. What
measurement scale is used to measure unemployment?
Nominal
Ordinal
Interval or ratio
Descriptive
The Nielsen Ratings break down the number of people watching
a particular television show by age. What level of measurement
is age?
Nominal
Ordinal
Interval
Ratio
An example of a qualitative variable is _________________.
Number of children in a family
Weight of a person
Color of ink in a pen
Miles between oil changes
Two thousand six hundred frequent business travelers are asked
which midwestern city they prefer: Indianapolis, Saint Louis,
Chicago, or Milwaukee. 113 liked Indianapolis best, 455 liked
Saint Louis, 1395 liked Chicago, and the remainder preferred

12. Milwaukee. Develop a frequency table and a relative frequency
table to summarize this information. (Round relative frequency
to 3 decimal places.)
City
Frequency
Relative Frequency
Indianapolis
St. Louis
Chicago
Milwaukee
The Cambridge Power and Light Company selected a random
sample of 20 residential customers. Following are the amounts,
to the nearest dollar, the customers were charged for electrical
service last month:
53
47
53
50
23
46
75
45
62
76

13. 67
61
37
34
53
62
36
66
63
61
a.
Compute the arithmetic mean.(Round your answer to 2 decimal
places.)
The mean is
$
b.
Indicate whether it is a statistic or a parameter.
This is a .
Statistic or paremeter
Consider these five values a population: 6, 4, 5, 4, and 7.
a.
Determine the mean of the population. (Round your answer to 1
decimal place.)
Arithmetic mean
b.
Determine the variance of the population. (Round your answer
to 2 decimal places.)

14. Variance
An investor buys 100 shares of AT&T stock and records its
price change daily. Which concept of probability would you use
to estimate the probability of an individual event?
Probability of an individual event
Empirical
Classical
A sample of 33 observations is selected from a normal
population. The sample mean is 30, and the population standard
deviation is 3. Conduct the following test of hypothesis using
the 0.05 significance level.
H0 : μ ≤ 29
H1 : μ > 29
a.
Is this a one- or two-tailed test?
"Two-tailed"-the alternate hypothesis is different from
direction.
"One-tailed"-the alternate hypothesis is greater than direction.
b.
What is the decision rule? (Round your answer to 3 decimal

15. places.)
H0, when z >
c.
What is the value of the test statistic? (Round your answer to 2
decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject
Do not reject
There is evidence to conclude that the population mean is
greater than 29.
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
At the time she was hired as a server at the Grumney Family
Restaurant, Beth Brigden was told, “You can average $74 a day
in tips.” Assume the population of daily tips is normally
distributed with a standard deviation of $4.04. Over the first 36
days she was employed at the restaurant, the mean daily amount
of her tips was $75.04. At the 0.02 significance level, can Ms.

16. Brigden conclude that her daily tips average more than $74?
a.
State the null hypothesis and the alternate hypothesis.
H0: μ ≤ 74 ; H1: μ > 74
H0: μ ≥ 74 ; H1: μ < 74
H0: μ = 74 ; H1: μ ≠ 74
H0: μ >74 ; H1: μ = 74
b.
State the decision rule.
Reject H1 if z < 2.05
Reject H0 if z > 2.05
Reject H1 if z > 2.05
Reject H0 if z < 2.05
c.
Compute the value of the test statistic. (Round your answer to 2
decimal places.)

17. Value of the test statistic
d.
What is your decision regarding H0?
Do not reject H0
Reject H0
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
The Rocky Mountain district sales manager of Rath Publishing
Inc., a college textbook publishing company, claims that the
sales representatives make an average of 37 sales calls per week
on professors. Several reps say that this estimate is too low. To
investigate, a random sample of 41 sales representatives reveals
that the mean number of calls made last week was 40. The
standard deviation of the sample is 5.6 calls. Using the 0.025
significance level, can we conclude that the mean number of
calls per salesperson per week is more than 37?
H0 : μ ≤ 37
H1 : μ > 37
1.
Compute the value of the test statistic. (Round your answer to 3
decimal places.)

18. Value of the test statistic
2.
What is your decision regarding H0?
H0. The mean number of calls is than 37 per week.
A United Nations report shows the mean family income for
Mexican migrants to the United States is $28,540 per year. A
FLOC (Farm Labor Organizing Committee) evaluation of 26
Mexican family units reveals a mean to be $30,500 with a
sample standard deviation of $10,500. Does this information
disagree with the United Nations report? Apply the 0.01
significance level.
a.
State the null hypothesis and the alternate hypothesis.
H0: μ =
H1: μ ≠
b.
State the decision rule for .01 significance level. (Negative
amounts should be indicated by a minus sign.Round your
answers to 3 decimal places.)
Reject H0 if t is not between and
c.

19. Compute the value of the test statistic. (Round your answer to 2
decimal places.)
Value of the test statistic
d.
Does this information disagree with the United Nations report?
Apply the 0.01 significance level.
. This data the report.
The following information is available.
H0 : μ ≥ 220
H1 : μ < 220
A sample of 64 observations is selected from a normal
population. The sample mean is 215, and the population
standard deviation is 15. Conduct the following test of
hypothesis using the .025 significance level.
a.
Is this a one- or two-tailed test?
Two-tailed test
One-tailed test
b.
What is the decision rule? (Negative amount should be indicated

20. by a minus sign. Round your answer to 2 decimal places.)
H0 when z <
c.
What is the value of the test statistic? (Negative amount should
be indicated by a minus sign. Round your answer to 3 decimal
places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject
Do not reject
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
Given the following hypotheses:
H0 : μ ≤ 10
H1 : μ > 10
A random sample of 10 observations is selected from a normal
population. The sample mean was 12 and the sample standard

21. deviation 3. Using the .05 significance level:
a.
State the decision rule. (Round your answer to 3 decimal
places.)
Reject H0 if t >
b.
Compute the value of the test statistic. (Round your answer to 3
decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
H0. There is evidence to conclude that the population mean is
greater than 10.
Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A random sample of 12 observations is selected from a normal
population. The sample mean was 407 and the sample standard
deviation 6. Using the .01 significance level:
a.
State the decision rule. (Negative amount should be indicated
by a minus sign. Round your answers to 3 decimal places.)

22. Reject H0 when the test statistic is the interval (, ).
b.
Compute the value of the test statistic. (Round your answer to 3
decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
Do not reject
Reject
The production department of Celltronics International wants to
explore the relationship between the number of employees who
assemble a subassembly and the number produced. As an
experiment, 3 employees were assigned to assemble the
subassemblies. They produced 8 during a one-hour period. Then
5 employees assembled them. They produced 13 during a one-
hour period. The complete set of paired observations follows.
Number of
Assemblers
One-Hour
Production (units)
3
8
5

23. 13
2
5
6
23
4
16
The dependent variable is production; that is, it is assumed that
different levels of production result from a different number of
employees.
Click here for the Excel Data File
b.
A scatter diagram is provided below. Based on it, does there
appear to be any relationship between the number of assemblers
and production?
, as the number of assemblers , so does the production.
c.
Compute the correlation coefficient. (Negative amounts should
be indicated by a minus sign. Round sx, sy and r to 3 decimal
places.)
X
Y
( )2
( )2
( )( )
3

24. 8
-5
25
5
13
1
1
0
2
5
-8
64
6
23
2
4
20
4
16
3
0
0

25. =
=
sx
=
sy
=
r
=
The following sample observations were randomly
selected. (Round your answers to 2 decimal places.)
X:
4
5
3
6
10
Y:
8.8

26. 10.6
7
15.4
18.6
a.
The regression equation is = + X
b.
When X is 8 this gives =
Bi-lo Appliance Super-Store has outlets in several large
metropolitan areas in New England. The general sales manager
aired a commercial for a digital camera on selected local TV
stations prior to a sale starting on Saturday and ending Sunday.
She obtained the information for Saturday–Sunday digital
camera sales at the various outlets and paired it with the number
of times the advertisement was shown on the local TV stations.
The purpose is to find whether there is any relationship between
the number of times the advertisement was aired and digital
camera sales. The pairings are:
Location of
Number of
Saturday–Sunday Sales
TV Station
Airings
($ thousands)
Providence
4
15
Springfield
2
8
New Haven

27. 5
21
Boston
6
24
Hartford
3
17
Click here for the Excel Data File
a.
What is the dependent variable?
is the dependent variable.
c.
Determine the correlation coefficient. (Round your answer to 2
decimal places.)
Coefficient of correlation
d.
Interpret these statistical measures.
The statistical measures obtained here indicate correlation
between the variables.
The owner of Maumee Ford-Mercury-Volvo wants to study the
relationship between the age of a car and its selling price.
Listed below is a random sample of 12 used cars sold at the

28. dealership during the last year.
Car
Age (years)
Selling Price ($000)
Car
Age (years)
Selling Price ($000)
1
9
8.1
7
8
7.6
2
7
6.0
8
11
8.0
3
11
3.6
9
10
8.0
4
12
4.0
10
12
6.0
5
8
5.0
11

29. 6
8.6
6
7
10.0
12
6
8.0
Click here for the Excel Data File
a.
If we want to estimate selling price on the basis of the age of
the car, which variable is the dependent variable and which is
the independent variable?
is the independent variable and is the dependent variable.
b-1.
Determine the correlation coefficient. (Negative amounts should
be indicated by a minus sign. Round your answers to 3 decimal
places.)
X
Y
( )2
( )2
( )( )
9.0
8.1
1.192
0.007

30. 1.420
0.099
7.0
6.0
-0.908
3.674
0.825
1.741
11.0
3.6
2.083
4.340
10.945
-6.892
12.0
4.0
3.083
9.507
8.458
-8.967
8.0
5.0
-0.917
-1.908
3.642
1.749
7.0
10.0
-1.917
3.092
9.558

31. -5.926
8.0
7.6
-0.917
0.692
0.840
-0.634
11.0
8.0
2.083
1.092
4.340
2.274
10.0
8.0
1.083
1.092
1.174
1.192
12.0
6.0
3.083
-0.908
9.507
0.825
6.0
8.6
-2.917
1.692
8.507
2.862
-4.934

32. 6.0
8.0
-2.917
1.092
8.507
1.192
-3.184
107.000
82.900
=
=
sx
=
sy
=
r
=
b-2.
Determine the coefficient of determination. (Round your answer
to 3 decimal places.)

33. c.
Interpret the correlation coefficient. Does it surprise you that
the correlation coefficient is negative?(Round your answer to
nearest whole number.)
correlation between age of car and selling price. So, % of the
variation in the selling price is explained by the variation in the
age of the car.
Pennsylvania Refining Company is studying the relationship
between the pump price of gasoline and the number of gallons
sold. For a sample of 20 stations last Tuesday, the correlation
was .78.
At the .01 significance level, is the correlation in the population
greater than zero? (Round your answer to 3 decimal places.)
The test statistic is .
Decision: H0: ρ ≤ 0
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