Question 1

True or False: Results that are statistically significant are always practically significant.

Accepted Answer

A) True 
 B)False

Question 2

The mean age of professors at a university is  57.9  years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Accepted Answer

A)  There is not sufficient evidence to reject the claim $\mu = 57.9$ 
B)  There is sufficient evidence to reject the claim $\mu = 57.9$ 
C)  There is sufficient evidence to support the claim $\mu = 57.9$ 
D)  There is not sufficient evidence to support the claim $\mu = 57.9$ 
A)  There is not sufficient evidence to reject the claim $\mu = 57.9$ 
B)  There is sufficient evidence to reject the claim $\mu = 57.9$ 
C)  There is sufficient evidence to support the claim $\mu = 57.9$ 
D)  There is not sufficient evidence to support the claim $\mu = 57.9$

Question 3

A nationwide survey claimed that at least 55% of parents with young children condone spanking their child asa regular form of punishment. In a random sample of 100 parents with young children, how many would needto say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?

Accepted Answer

A)  You would need 46 or less parents to support spanking to refute the claim. 
B)  You would need exactly 46 parents to support spanking to refute the claim. 
C)  You would need 47 or less parents to support spanking to refute the claim. 
D)  You would need more than 46 parents to support spanking to refute the claim. 
A)  You would need 46 or less parents to support spanking to refute the claim. 
B)  You would need exactly 46 parents to support spanking to refute the claim. 
C)  You would need 47 or less parents to support spanking to refute the claim. 
D)  You would need more than 46 parents to support spanking to refute the claim.

Question 4

Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 7at the α = 0.1 level of significance.

Accepted Answer

A)  1.635, 12.592 
B)  2.167, 14.067 
C)  2.204, 10.645 
D)  2.833, 12.017 
A)  1.635, 12.592 
B)  2.167, 14.067 
C)  2.204, 10.645 
D)  2.833, 12.017

Question 5

A local retailer claims that the mean waiting time is less than 9 minutes. A random sample of 20 waiting timeshas a mean of 7.4 minutes with a standard deviation of 2.1 minutes. At α = 0.01, test the retailerʹs claim.Assume the distribution is normally distributed. Round the test statistic to the nearest thousandth.

Accepted Answer

critical value @#LAT-DLM&; standardized

Question 6

Test the claim that $\sigma ^ { 2 } \neq 54.4 \text { if } n = 10 , s ^ { 2 } = 60 , \text { and } \alpha = 0.01$Assume that the population is normally distributed.

Accepted Answer

critical values  @#LAT-DLM&=3.816  and

Question 7

The ages of a group of patients being treated at one hospital for osteoporosis are summarized in the frequencyhistogram below. Based on the histogram, is a large sample necessary to conduct a hypothesis test about themean age? If so, why?

Accepted Answer

A)  Yes; data do not appear to be normally distributed but skewed left. 
B)  Yes; data do not appear to be normally distributed but skewed right. 
C)  Yes; data do not appear to be normally distributed but bimodal. 
D)  No; data appear to be normally distributed with no outliers. 
A)  Yes; data do not appear to be normally distributed but skewed left. 
B)  Yes; data do not appear to be normally distributed but skewed right. 
C)  Yes; data do not appear to be normally distributed but bimodal. 
D)  No; data appear to be normally distributed with no outliers.

Question 8

The level of significance, α, is the probability of making a

Accepted Answer

A)  Type I error 
B)  Type II error 
C)  Correct decision 
D)  Type β error 
A)  Type I error 
B)  Type II error 
C)  Correct decision 
D)  Type β error

Question 9

In one city, 25 out of 100 randomly sampled teenagers say that they smoke.
(a) Consider the hypotheses $\mathrm { H } _ { 0 } : \mathrm { p } = 0.22$ versus $\mathrm { H } _ { 1 } : \mathrm { p } > 0.22$. Explain what the researcher would be testing. Perform the test at the $\alpha = 0.05$ level of significance. Write a conclusion for the test. Round the test statistic to the nearest hundredth.
(b) Repeat part (a) for the hypotheses $\mathrm { H } _ { 0 } : \mathrm { p } = 0.24$ versus $\mathrm { H } _ { 1 } : \mathrm { p } > 0.24$.
(c) Based on your results in parts (a) and (b), write a few sentences that explain the difference between "accepting" the statement in the null hypothesis versus "not rejecting" the statement in the null hypothesis. 3 Test hypotheses about a population proportion using the binomial probability distribution.

Accepted Answer

we are simply saying that thes

Question 10

If we have a sample of 12 drawn from a normal population, then we would use as our test statistic

Accepted Answer

A)  t0 with 11 degrees of freedom 
B)  z0 with 11 degrees of freedom 
C)  t0 with 12 degrees of freedom 
D)  z0 with 12 degrees of freedom 
A)  t0 with 11 degrees of freedom 
B)  z0 with 11 degrees of freedom 
C)  t0 with 12 degrees of freedom 
D)  z0 with 12 degrees of freedom

Question 11

Test the claim that $\sigma ^ { 2 } > 17.1 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 24.3 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

Accepted Answer

critical value  @#LAT-DLM&=18.114 ; stan

Question 12

The mean number of rushing yards for one NFL team was less than 109 yards per game. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Accepted Answer

A)  There is not sufficient evidence to support the claim $\mu < 109 .$ 
B)  There is sufficient evidence to reject the claim $\mu < 109$ 
C)  There is not sufficient evidence to reject the claim $\mu < 109$ 
D)  There is sufficient evidence to support the claim $\mu < 109 .$ 
A)  There is not sufficient evidence to support the claim $\mu < 109 .$ 
B)  There is sufficient evidence to reject the claim $\mu < 109$ 
C)  There is not sufficient evidence to reject the claim $\mu < 109$ 
D)  There is sufficient evidence to support the claim $\mu < 109 .$

Question 13

The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 4.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails toreject the null hypothesis?

Accepted Answer

A)  There is not sufficient evidence to reject the claim $\mu \leq 4.4$. 
B)  There is sufficient evidence to reject the claim $\mu \leq 4.4$. 
C)  There is sufficient evidence to support the claim $\mu \leq 4.4$. 
D)  There is not sufficient evidence to support the claim $\mu \leq 4.4$. 
A)  There is not sufficient evidence to reject the claim $\mu \leq 4.4$. 
B)  There is sufficient evidence to reject the claim $\mu \leq 4.4$. 
C)  There is sufficient evidence to support the claim $\mu \leq 4.4$. 
D)  There is not sufficient evidence to support the claim $\mu \leq 4.4$.

Question 14

The mean cost of textbooks for one class is greater than $140. Identify the type I and type II errors for thehypothesis test of this claim.

Accepted Answer

type I: rejecting @#LAT-DLM& w

Question 15

True or False: If I specify β to be equal to 0.36, then the value of α must be 0.64.

Accepted Answer

A) True 
 B)False

Question 16

Test the claim that $\sigma ^ { 2 } \geq 1.8 \text { if } n = 15 , s ^ { 2 } = 1.5 \text {, and } \alpha = 0.05$ Assume that the population is normally distributed.

Accepted Answer

critical value  @#LAT-DLM&=6.571 ;  stan

Question 17

The engineering school at a major university claims that  20 %  of its graduates are women. In a graduating class of 210 students, 58 were females. Does this suggest that the school is believable? Use  α=0.05 . Round $\hat { \mathrm { p } }$ to the nearest ten-thousandth when calculating the test statistic.

Accepted Answer

critical value @#LAT-DLM& standardized t

Question 18

An airline claims that the no-show rate for passengers is less than  5 % . In a sample of 420 randomly selected reservations, 19 were no-shows. At  α = 0.01, test the airline's claim. Round $\hat { \mathrm { p } }$ to the nearest thousandth when calculating the test statistic.

Accepted Answer

critical value @#LAT-DLM& standardized t

Question 19

True or False: Results that are practically significant will always be statistically significant.

Accepted Answer

A) True 
 B)False

Question 20

The owner of an outdoor store recommends against buying the new model of one brand of GPS receiversbecause they vary more than the old model, which had a standard deviation of 50 meters. Write the null andalternative hypotheses.

Accepted Answer

The answer of The owner of an outdoor store recommends...

True or False: Results that are statistically significant are always practically significant.

The mean age of professors at a university is 57.9 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 7at the α = 0.1 level of significance.

Test the claim that $\sigma ^ { 2 } \neq 54.4 \text { if } n = 10 , s ^ { 2 } = 60 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

The ages of a group of patients being treated at one hospital for osteoporosis are summarized in the frequencyhistogram below. Based on the histogram, is a large sample necessary to conduct a hypothesis test about themean age? If so, why?

The level of significance, α, is the probability of making a

If we have a sample of 12 drawn from a normal population, then we would use as our test statistic

Test the claim that $\sigma ^ { 2 } > 17.1 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 24.3 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

The mean number of rushing yards for one NFL team was less than 109 yards per game. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 4.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails toreject the null hypothesis?

The mean cost of textbooks for one class is greater than $140. Identify the type I and type II errors for thehypothesis test of this claim.

True or False: If I specify β to be equal to 0.36, then the value of α must be 0.64.

Test the claim that $\sigma ^ { 2 } \geq 1.8 \text { if } n = 15 , s ^ { 2 } = 1.5 \text {, and } \alpha = 0.05$ Assume that the population is normally distributed.

An airline claims that the no-show rate for passengers is less than 5 % . In a sample of 420 randomly selected reservations, 19 were no-shows. At α = 0.01, test the airline's claim. Round $\hat { \mathrm { p } }$ to the nearest thousandth when calculating the test statistic.

True or False: Results that are practically significant will always be statistically significant.

The owner of an outdoor store recommends against buying the new model of one brand of GPS receiversbecause they vary more than the old model, which had a standard deviation of 50 meters. Write the null andalternative hypotheses.

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter

Inferences on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

Exam 10: Hypothesis Tests Regarding a Parameter

True or False: Results that are statistically significant are always practically significant.

The mean age of professors at a university is 57.9 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 7at the α = 0.1 level of significance.

Test the claim that σ2≠54.4 if n=10,s2=60, and α=0.01\sigma ^ { 2 } \neq 54.4 \text { if } n = 10 , s ^ { 2 } = 60 , \text { and } \alpha = 0.01σ2=54.4 if n=10,s2=60, and α=0.01 Assume that the population is normally distributed.

The ages of a group of patients being treated at one hospital for osteoporosis are summarized in the frequencyhistogram below. Based on the histogram, is a large sample necessary to conduct a hypothesis test about themean age? If so, why?

The level of significance, α, is the probability of making a

If we have a sample of 12 drawn from a normal population, then we would use as our test statistic

Test the claim that σ2>17.1 if n=18, s2=24.3, and α=0.01\sigma ^ { 2 } > 17.1 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 24.3 , \text { and } \alpha = 0.01σ2>17.1 if n=18, s2=24.3, and α=0.01 Assume that the population is normally distributed.

The mean number of rushing yards for one NFL team was less than 109 yards per game. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 4.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails toreject the null hypothesis?

The mean cost of textbooks for one class is greater than $140. Identify the type I and type II errors for thehypothesis test of this claim.

True or False: If I specify β to be equal to 0.36, then the value of α must be 0.64.

Test the claim that σ2≥1.8 if n=15,s2=1.5, and α=0.05\sigma ^ { 2 } \geq 1.8 \text { if } n = 15 , s ^ { 2 } = 1.5 \text {, and } \alpha = 0.05σ2≥1.8 if n=15,s2=1.5, and α=0.05 Assume that the population is normally distributed.

An airline claims that the no-show rate for passengers is less than 5 % . In a sample of 420 randomly selected reservations, 19 were no-shows. At α = 0.01, test the airline's claim. Round p^\hat { \mathrm { p } }p^​ to the nearest thousandth when calculating the test statistic.

True or False: Results that are practically significant will always be statistically significant.

The owner of an outdoor store recommends against buying the new model of one brand of GPS receiversbecause they vary more than the old model, which had a standard deviation of 50 meters. Write the null andalternative hypotheses.

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter

Inferences on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

Test the claim that $\sigma ^ { 2 } \neq 54.4 \text { if } n = 10 , s ^ { 2 } = 60 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

Test the claim that $\sigma ^ { 2 } > 17.1 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 24.3 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

Test the claim that $\sigma ^ { 2 } \geq 1.8 \text { if } n = 15 , s ^ { 2 } = 1.5 \text {, and } \alpha = 0.05$ Assume that the population is normally distributed.

An airline claims that the no-show rate for passengers is less than 5 % . In a sample of 420 randomly selected reservations, 19 were no-shows. At α = 0.01, test the airline's claim. Round $\hat { \mathrm { p } }$ to the nearest thousandth when calculating the test statistic.