Question
1 of 40

A consumer advocacy group claims that the
mean amount of juice in a 16

ounce bottled drink is not 16 ounces, as
stated by the bottler.

Determine the null and alternative hypotheses
for the test described.

A.

H0: µ = 16 ounces Ha: µ < 16 ounces

B.

H0: µ ¹ 16 ounces Ha: µ = 16 ounces

C.

H0: µ = 16 ounces Ha: µ > 16 ounces

D.

H0: µ = 16 ounces Ha: µ ¹ 16 ounces

Question
2 of 40

A manufacturer claims that the mean amount of
juice in its 16 ounce bottles is 16.1 ounces. A consumer advocacy group wants
to perform a hypothesis test to determine whether the mean amount is actually
less than this. The mean volume of juice for a random sample of 70 bottles was
15.94 ounces. Do the data provide sufficient evidence to conclude that the mean
amount of juice for all 16-ounce bottles, µ, is less than 16.1 ounces? Perform
the appropriate hypothesis test using a significance level of 0.10. Assume that
s = 0.9 ounces. ?

A. The
z of – 1.49 provides sufficient evidence to conclude that the mean amount of
juice is less than 16.1 oz.

B. The z of – 1.49 does not provide
sufficient evidence to conclude that the mean amount of juice is less than 16.1
oz.

C. The z of – 0.1778 does not provide
sufficient evidence to conclude that the mean amount of juice is less than 16.1
oz.

D. The z of – 0.1778 provides sufficient
evidence to conclude that the mean amount of juice is less than 16.1 oz.

Question
3 of 40

A consumer group claims that the mean running
time for a certain type of flashlight battery is not the same as the
manufacturer’s claims. Determine the null and alternative hypotheses for the
test described.

A.

H0: µ = Manufacturer’s claims Ha: µ < Manufacturer’s claims

B.

H0: µ = Manufacturer’s claims Ha: µ ¹ Manufacturer’s claims

C.

H0: µ = Manufacturer’s claims Ha: µ > Manufacturer’s claims

D.

H0: µ ¹ Manufacturer’s claims Ha: µ = Manufacturer’s claims

Question
4 of 40

A two-tailed test is conducted at the 5%
significance level. What is the left tail percentile required to reject the
null hypothesis?

A. 97.5%

B. 5%

C. 2.5%

D. 95%

Question
5 of 40

A nationwide study of American homeowners
revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer,
located in Omaha, feels the estimate is too low for households in Omaha. Find
the P-value for a test of the claim that the proportion with lawn mowers in
Omaha is higher than 65%. Among 497 randomly selected homes in Omaha, 340 had
one or more lawn mowers. Use Table 5.1 to find the best answer.

A. 0.0559

B. 0.1118

C. 0.0252

D. 0.0505

Question
6 of 40

A supplier of DVDs claims that no more than
1% of the DVDs are defective. In a random sample of 600 DVDs, it is found that
3% are defective, but the supplier claims that this is only a sample fluctuation.
At the 0.01 level of significance, test the supplier’s claim that no more than
1% are defective.

A. Do not reject the null hypothesis and
conclude that there is evidence to support the claim that more than 1% of the
DVDs are defective.

B. Reject the null hypothesis and conclude
that there is insufficient evidence to support the claim that more than 1% of
the DVDs are defective.

C. Do not reject the null hypothesis and
conclude that there is insufficient evidence to support the claim that more
than 1% of the DVDs are defective.

D. Reject the null hypothesis and conclude
that there is sufficient evidence to support the claim that more than 1% of the
DVDs are defective.

Question
7 of 40

z = 1.8 for Ha: µ >
claimed value. What is the P-value for the test? ?

A. 0.9641

B. 3.59

C. 96.41

D. 0.0359

Question
8 of 40

A
researcher wants to check the claim that convicted burglars spend an average of
18.7 months in jail. She takes a random sample of 35 such cases from court
files and finds that months. Assume that
the population standard deviation is 7 months. Test the null hypothesis that µ
= 18.7 at the 0.05 significance level.

A. Do not reject the null hypothesis and
conclude that the claim that the mean is different from 18.7 months is
supported.

B. Do not reject the null hypothesis and
conclude that the claim that the mean is different from 18.7 months cannot be
supported.

C. Reject the null hypothesis and conclude
that the claim that the mean is different from 18.7 months is supported.

D. Reject the null hypothesis and conclude
that the claim that the mean is different from 18.7 months cannot be supported.

Question
9 of 40

In 1990, the average duration of
long-distance telephone calls originating in one town was 9.3 minutes. A
long-distance telephone company wants to perform a hypothesis test to determine
whether the average duration of long-distance phone calls has changed from the
1990 mean of 9.3 minutes. Formulate the null and alternative hypotheses for the
study described.

A.

Ho: µ = 9.3 minutes H a : µ < 9.3 minutes

B.

Ho: µ = 9.3 minutes H a : µ > 9.3 minutes

C.

Ho: µ = 9.3 minutes H a : µ ¹ 9.3 minutes

D.

Ho: µ ¹ 9.3 minutes H a : µ = 9.3 minutes

Question
10 of 40

In the past, the mean running time for a certain
type of flashlight battery has been 8.0 hours. The manufacturer has introduced
a change in the production method and wants to perform a hypothesis test to
determine whether the mean running time has increased as a result. The
hypotheses are:

H0 : µ
= 8.0 hours

Ha : µ
> 8.0 hours

Explain the meaning of a Type II error.

A. Concluding that µ > 8.0 hours when in
fact µ > 8.0 hours

B. Failing to reject the hypothesis that µ =
8.0 hours when in fact µ >

8.0 hours

C. Concluding that µ > 8.0 hours

D. Failing to reject the hypothesis that µ =
8.0 hours when in fact µ = 8.0 hours

Question
11 of 40

In 1990, the average duration of
long-distance telephone calls originating in one town was 9.4 minutes. A
long-distance telephone company wants to perform a hypothesis test to determine
whether the average duration of long-distance phone calls has changed from the
1990 mean of 9.4 minutes. The mean duration for a random sample of 50 calls
originating in the town was 8.6 minutes. Does the data provide sufficient evidence
to conclude that the mean call duration, µ, is different from the 1990 mean of
9.4 minutes? Perform the appropriate hypothesis test using a significance level
of 0.01. Assume that s = 4.8 minutes.

A. With a z of -1.2 there is sufficient
evidence to conclude that the mean

value has changed from the 1990 mean of 9.4
minutes.

B. With a P-value of 0.2302 there is not
sufficient evidence to conclude

that the mean value is less than the 1990
mean of 9.4 minutes.

C. With a P-value of 0.2302 there is sufficient
evidence to conclude that

the mean value is less than the 1990 mean of
9.4 minutes.

D. With a z of –1.2 there is not sufficient
evidence to conclude that the

mean value has changed from the 1990 mean of
9.4 minutes.

Question
12 of 40

At one school, the mean amount of time that
tenth-graders spend watching television each week is 18.4 hours. The principal
introduces a campaign to encourage the students to watch less television. One
year later, the principal wants to perform a hypothesis test to determine
whether the average amount of time spent watching television per week has
decreased.

Formulate the null and alternative hypotheses
for the study described.

A. Ho:
µ = 18.4 hours H a : µ ¹ 18.4 hours

B. Ho:
µ = 18.4 hours H a : µ < 18.4
hours

C. Ho:
µ ³ 18.4 hours H a : µ < 18.4
hours

D. Ho:
µ = 18.4 hours H a : µ > 18.4
hours

Question
13 of 40

The principal of a middle school claims that
annual incomes of the families of the seventh-graders at his school vary more
than the annual incomes of the families of the seventh-graders at a neighboring
school, which have variation described by s = $13,700. Assume that a hypothesis
test of the claim has been conducted and that the conclusion of the test was to
reject the null hypothesis. Identify the population to which the results of the
test apply.

A. The current seventh graders at the
principal’s school

B. Seventh graders’ families at the school
with a standard deviation of $13,700

C. All of the families of the class of seventh
graders at the principal’s school

D. All seventh graders’ families

Question
14 of 40

A two-tailed test is conducted at the 5%
significance level. What is the P-value required to reject the null hypothesis?

A. Greater than or equal to 0.10

B. Less than or equal to 0.05

C. Less than or equal to 0.10

D. Greater than or equal to 0.05

Question
15 of 40

A psychologist claims that more than 29
percent of the professional population suffers from problems due to extreme
shyness. Assuming that a hypothesis test of the claim has been conducted and
that the conclusion is failure to reject the null hypothesis, state the
conclusion in non-technical terms.

A. There is sufficient evidence to support
the claim that the true proportion is less than 29 percent.

B. There is not sufficient evidence to
support the claim that the true proportion is greater than 29 percent.

C. There is sufficient evidence to support
the claim that the true proportion is equal to 29 percent.

D. There is sufficient evidence to support
the claim that the true proportion is greater than 29 percent.

Question
16 of 40

A long-distance telephone company claims that
the mean duration of long-distance telephone calls originating in one town was
greater than 9.4 minutes, which is the average for the state. Determine the
conclusion of the hypothesis test assuming that the results of the sampling do
not lead to rejection of the null hypothesis.

A. Conclusion: Support the claim that the
mean is less than 9.4 minutes.

B. Conclusion: Support the claim that the
mean is greater than 9.4 minutes.

C. Conclusion: Support the claim that the
mean is equal to 9.4 minutes.

D. Conclusion: Do not support the claim that
the mean is greater than 9.4 minutes.

Question
17 of 40

A skeptical paranormal researcher claims that
the proportion of Americans that have seen a UFO is less than 1 in every one
thousand. State the null hypothesis and the alternative hypothesis for a test
of significance.

A. H0:
p = 0.001 Ha: p > 0.001

B. H0:
p = 0.001 Ha: p < 0.001

C. H0:
p > 0.001 Ha: p = 0.001

D. H0:
p < 0.001 Ha: p = 0.001

Question
18 of 40

The owner of a football team claims that the
average attendance at home games is over 3000, and he is therefore justified in
moving the team to a city with a larger stadium. Assuming that a hypothesis
test of the claim has been conducted and that the conclusion is failure to
reject the null hypothesis, state the conclusion in non-technical terms.

A. There is sufficient evidence to support
the claim that the mean attendance is greater than 3000.

B. There is sufficient evidence to support
the claim that the mean attendance is equal to 3000.

C. There is not sufficient evidence to
support the claim that the mean attendance is greater than 3000.

D. There is not sufficient evidence to
support the claim that the mean attendance is less than 3000.

Question
19 of 40

A two-tailed test is conducted at the 0.10
significance level. What is the P-value required to reject the null hypothesis?

A. Greater than or equal to .010

B. Greater than or equal to 0.05

C. Less than or equal to 0.10

D. Less than or equal to 0.05

Question
20 of 40

If a fan purchased a bag with 30 peanuts,
what is the lowest level at which this would be a significant event?

A. 0.05

B. 0.025

C. 0.01

D. It is not significant at any of the levels
given

Question
21 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent.

The critical value of X2 for a 2 x 2 table
using a 0.05 significance level is 3.841. If the value of the X2 statistic is 3.179, state your conclusion
about the relationship between gender and colorblindness.

A. Do
not reject H0.

B. Reject
H0.

C. There
is sufficient evidence to support the claim that gender and colorblindness are
not related.

D. There
is not sufficient evidence to accept or reject H0.

Question
22 of 40

Which of the following statements is true?

A. The t distribution can be used when
finding a confidence interval for the population mean whenever the sample size
is small.

B. The p distribution can be used when
finding a confidence interval for the population mean whenever the sample size
is small.

C. The t distribution cannot be used when
finding a confidence interval for the population mean whenever the sample size
is small.

D. The p distribution cannot be used when
finding a confidence interval for the sample mean whenever the sample size is
small.

Question
23 of 40

A 95% confidence interval for the mean of a
normal population is found to be 15.6 < µ < 25.2. What is the margin of
error?

A. 3.9

B. 4.8

C. 4.9

D. 3.7

Question
24 of 40

The margin of error in estimating the
population mean of a normal population is E = 9.3 when the sample size is 15.
If the sample size had been 18 and the sample standard deviation did not
change, would the margin of error be larger or smaller than 9.3? Explain your
answer.

A. Smaller. E decreases as the square root of
the sample size gets larger.

B. Smaller. E increases as the square root of
the sample size gets larger.

C. Larger. E decreases as the square root of
the sample size gets larger.

D. Larger. E increases as the square root of
the sample size gets larger.

Question
25 of 40

A simple random sample from a normal
distribution is taken in order to obtain a 95% confidence interval for the
population mean. If the sample size is 8, the sample mean x? is 22, and the
sample standard deviation s is 6.3, what is the margin of error? Show your
answer to 2 decimal places.

A. df = 7; E = 3.3445.38 = 5.6566

B. df = 8; E = 3.3445.38 = 5.6566

C. df = 6; E = 2.3656.38 = 5.769

D. df = 7; E = 2.3656.38 = 5.869

Question
26 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent. The following counts were observed.

Colorblind Not
Colorblind Total

Male 7 53 60

Female 1 39 40

Total 8 92 100

If gender and colorblindness are independent,
find the expected values corresponding to the female combinations of gender and
colorblindness.

A. Colorblind Female 4.8; Not Colorblind
Female 55.2

B. Colorblind Female 3.2; Not Colorblind
Female 36.8

C. Colorblind Female 4.8; Not Colorblind
Female 35.2

D. Colorblind Female 3.8; Not Colorblind
Female 36.2

Question
27 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent.

The critical value of X2 for a 2 x 2 table
using a 0.05 significance level is 3.841. If the value of the X2 statistic is
3.427, state your conclusion about the relationship between gender and
colorblindness.

A. Do
not reject H0. There is not sufficient evidence to support the claim that
gender and colorblindness are related.

B. Do
not reject H0. There is sufficient evidence to support the claim that gender
and colorblindness are related.

C. Reject
H0. There is not sufficient evidence to support the claim that gender and
colorblindness are related.

D. Reject
H0. There is sufficient evidence to support the claim that gender and
colorblindness are related.

Question
28 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent.

The critical value of X2 for a 2 x 2 table
using a 0.05 significance level is 3.841. If the value of the X2 statistic is
4.613, state your conclusion about the relationship between gender and
colorblindness.

A. Reject
H0. There is not sufficient evidence to support the claim that gender and
colorblindness are related.

B. Reject
H0. There is sufficient evidence to support the claim that gender and
colorblindness are related.

C. Do
not Reject H0. There is sufficient evidence to support the claim that gender
and colorblindness are related.

D. Do
not Reject H0. There is not sufficient evidence to support the claim that
gender and colorblindness are related.

Question
29 of 40

A 95% confidence interval for the mean of a
normal population is found to be 15.6 < µ < 24.8. What is the margin of
error?

A. 4.4

B. 4.6

C. 4.8

D. 5.0

Question
30 of 40

A large test statistic F tells us that the
sample means __________ the data within the individual samples, which would be
unlikely if the populations means really were equal (as the null hypothesis
claims).

A. differ more than

B. differ less than

C. are equal to

D. do not vary with

Question
31 of 40

A 95% confidence interval for the mean of a
normal population is found to be 17.6 < µ < 23.6. What is the margin of
error?

A. 2.0

B. 2.7

C. 3.0

D. 4.0

Question
32 of 40

The following data were analyzed using
one-way analysis of variance.

A B
C

34 27
19

26 23
31

31 29
22

28 21
22

Which one of the following statements is
correct?

A.The purpose of the analysis is to determine
whether the groups A, B, and C are independent.

B. The purpose of the analysis is to test the
hypothesis that the population means of the three groups are equal.

C. The purpose of the analysis is to test the
hypothesis that the population variances of the three groups are equal.

D. The purpose of the analysis is to test the
hypothesis that the sample means of the three groups are equal.

Question
33 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent. The following counts were observed.

Colorblind Not Colorblind Total

Male 7
53 60

Female 1
39 40

Total 8
92 100

State the null and alternative hypothesis for
the information above.

A.

H0: Colorblindness and gender are dependent
characteristics.

Ha: Colorblindness and gender are related in
some way.

B.

H0: Colorblindness and gender are independent
characteristics.

Ha: Colorblindness and gender are not related
in any way.

C.

H0: Colorblindness and gender are dependent
characteristics.

Ha: Colorblindness and gender are not related
in any way.

D.

H0: Colorblindness and gender are independent
characteristics.

Ha: Colorblindness and gender are related in
some way.

Question
34 of 40

Which of the following statements is true?

A. The t distribution cannot be used when
finding a confidence interval for the population mean with a small sample
whenever the sample comes from a symmetric population.

B. The t distribution can be used when
finding a confidence interval for the population mean with a small sample
whenever the sample comes from a symmetric population.

C. The p distribution can be used when
finding a confidence interval for the population mean with a small sample
whenever the sample comes from a symmetric population.

D. The p distribution can be used when
finding a confidence interval for the population mean with a small sample
whenever the sample comes from a symmetric population.

Question
35 of 40

The margin of error in estimating the
population mean of a normal population is E = 9.3 when the sample size is 15.
If the sample size had been 25 and the sample standard deviation did not
change, would the margin of error be larger or smaller than 9.3?

A. Smaller. E increases as the square root of
the sample size gets larger.

B. Smaller. E decreases as the square root of
the sample size gets larger.

C. Larger. E decreases as the square root of
the sample size gets larger.

D. Larger. E increases as the square root of
the sample size gets larger.

Question
36 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent. The following counts were observed.

Colorblind Not Colorblind Total

Male 8
52 60

Female 2
38 40

Total 10
90
100

State the null and alternative hypothesis for
the test associated with this data.

A.

H0: Colorblindness and gender are dependent
characteristics.

Ha: Colorblindness and gender are not related
in any way.

B.

H0:
Colorblindness and gender are dependent characteristics.

Ha:
Colorblindness and gender are related in some way.

C.

H0: Colorblindness and gender are independent
characteristics.

Ha: Colorblindness and gender are not related
in any way.

D.

H0: Colorblindness and gender are independent
characteristics.

Ha: Colorblindness and gender are related in
some way.

Question
37 of 40

The __________ test statistic is for the
one-way analysis of variance.

A. P-Value

B. t

C. F

D. p

Question
38 of 40

A golfer wished to find a ball that would
travel more than 160 yards when hit with his 7-iron with a club speed of 90
miles per hour. He had a golf equipment lab test a low compression ball by
having a robot swing his club 8 times at the required speed. State the null and
alternative hypotheses for this test.

A. H0:
µ = 160; Ha: µ > 150

B. H0:
µ = 150; Ha: µ > 150

C. H0:
µ = 160; Ha: µ > 160

D. H0:
µ = 140; Ha: µ > 160

Question
39 of 40

One hundred people are selected at random and
tested for colorblindness to determine whether gender and colorblindness are
independent. The following counts were observed.

Colorblind Not Colorblind Total

Male 7
53 60

Female 1
39 40

Total 8
92 100

Find the value of the X2 statistic for the
data above.

A. 1.325

B. 1.318

C. 1.286

D. 1.264

Question
40 of 40

A golfer wished to find a ball that would
travel more than 170 yards when hit with his 6-iron with a club head speed of
90 miles per hour. He had a golf equipment lab test a low compression ball by
having a robot swing his club 12 times at the required speed. State the null
and alternative hypotheses for this test.

A.

H0: µ > 170; Ha: µ = 170

B.

H0: µ < 170; Ha: µ = 170

C.

H0: µ = 170; Ha: µ > 170

D.

H0: µ = 160; Ha: µ > 160