CS 2206 Questions 1-40 Answers
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Question
1 of 40
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2.5 Points
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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.
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A.
There is sufficient evidence to support the claim that the true proportion is
less than 29 percent.
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B.
There is not sufficient evidence to support the claim that the true
proportion is greater than 29 percent.
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C.
There is sufficient evidence to support the claim that the true proportion is
equal to 29 percent.
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D.
There is sufficient evidence to support the claim that the true proportion is
greater than 29 percent.
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Question
2 of 40
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2.5 Points
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A
study of a brand of “in the shell peanuts” gives the following results:
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A
significant event at the 0.01 level is a fan getting a bag with how many
peanuts?
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A.
30 peanuts
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B.
25 or 30 peanuts
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C.
25 or 55 peanuts
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D.
25 peanuts
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Question
3 of 40
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2.5 Points
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without
computing a P-value, determine whether the alternate hypothesis is supported
and give a reason for your conclusion.
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A.
is
less than 1 standard deviation above the claimed mean.
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B.
is
more than 4 standard deviations above the claimed mean.
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C.
is
less than 1 standard deviation above the claimed mean.
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D.
is
more than 4 standard deviations above the claimed mean.
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Question
4 of 40
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2.5 Points
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A
two-tailed test is conducted at the 0.10 significance level. What is the
P-value required to reject the null hypothesis?
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A.
Greater than or equal to .010
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B.
Greater than or equal to 0.05
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C.
Less than or equal to 0.10
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D.
Less than or equal to 0.05
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Question
5 of 40
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2.5 Points
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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.
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A.
Ho: µ = 9.3
minutes H a : µ < 9.3
minutes
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B.
Ho: µ = 9.3
minutes H a : µ > 9.3
minutes
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C.
Ho: µ = 9.3
minutes H a : µ ¹ 9.3 minutes
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D.
Ho: µ ¹ 9.3 minutes H a : µ = 9.3 minutes
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Question
6 of 40
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2.5 Points
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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.
Formulate the null and alternative hypotheses for the study described.
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A.
Ho: µ = 18.4
hours H a : µ ¹ 18.4 hours
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B.
Ho: µ = 18.4
hours H a : µ < 18.4
hours
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C.
Ho: µ ³ 18.4 hours H a : µ < 18.4 hours
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D.
Ho: µ = 18.4
hours H a : µ > 18.4
hours
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Question
7 of 40
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2.5 Points
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The
owner of a football team claims that the average attendance at home games is
over 4000, and he is therefore justified in moving the team to a city with a
larger stadium. 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.
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A.
All games played by the team in question in which the attendance is over 4000
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B.
All future home games to be played by the team in question
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C.
All home games played by the team in question
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D.
None of the populations given are appropriate
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Question
8 of 40
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2.5 Points
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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.
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A.
Conclusion: Support the claim that the mean is less than 9.4 minutes.
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B.
Conclusion: Support the claim that the mean is greater than 9.4 minutes.
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C.
Conclusion: Support the claim that the mean is equal to 9.4 minutes.
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D.
Conclusion: Do not support the claim that the mean is greater than 9.4
minutes.
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Question
9 of 40
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2.5 Points
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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.
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A.
H0: µ = Manufacturer’s
claims Ha: µ < Manufacturer’s
claims
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B.
H0: µ = Manufacturer’s
claims Ha: µ ¹ Manufacturer’s claims
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C.
H0: µ = Manufacturer’s claims Ha:
µ > Manufacturer’s claims
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D.
H0: µ ¹ Manufacturer’s claims Ha:
µ = Manufacturer’s claims
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Question
10 of 40
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2.5 Points
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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.
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A.
Concluding that µ > 8.0 hours when in fact µ > 8.0 hours
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B.
Failing to reject the hypothesis that µ = 8.0 hours when in fact µ >
8.0 hours |
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C.
Concluding that µ > 8.0 hours
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D.
Failing to reject the hypothesis that µ = 8.0 hours when in fact µ = 8.0
hours
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Question
11 of 40
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2.5 Points
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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.
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A.
The current seventh graders at the principal’s school
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B.
Seventh graders’ families at the school with a standard deviation of $13,700
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C.
All of the families of the class of seventh graders at the principal’s school
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D.
All seventh graders’ families
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Question
12 of 40
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2.5 Points
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If
a fan purchased a bag with 30 peanuts, what is the lowest level at which this
would be a significant event?
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A.
0.05
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B.
0.025
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C.
0.01
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D.
It is not significant at any of the levels given
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Question
13 of 40
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2.5 Points
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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 thats = 4.8 minutes.
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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. |
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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. |
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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. |
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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. |
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