Question 1

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha _ { 2 }$ Right-tailed test, α $\alpha$ = 0.01

Accepted Answer

A)  $z _ { 0 } = 2.33 ; z > 2.33$ 
B)  $z _ { 0 } = 2.575 ; z > 2.575$ 
C)  $z _ { 0 } = 1.645 ; z > 1.645$ 
D)  $\mathrm { z } _ { 0 } = 1.96 ; ; \mathrm { z } > 1.96$ 
A)  $z _ { 0 } = 2.33 ; z > 2.33$ 
B)  $z _ { 0 } = 2.575 ; z > 2.575$ 
C)  $z _ { 0 } = 1.645 ; z > 1.645$ 
D)  $\mathrm { z } _ { 0 } = 1.96 ; ; \mathrm { z } > 1.96$

Question 2

The heights (in inches)of 20 randomly selected adult males are listed below. Test the claim that the variance is
less than 6.25. Assume the population is normally distributed. Use $\alpha$ = 0.05 and confidence intervals. $$\begin{array} { l l l l l l l l l l } 
70 & 72 & 71 & 70 & 69 & 73 & 69 & 68 & 70 & 71 \
67 & 71 & 70 & 74 & 69 & 68 & 71 & 71 & 71 & 72
\end{array}$$

Accepted Answer

Confidence interval (1.89, 5.6

Question 3

Determine the standardized test statistic, z, to test the claim about the population proportion $p \geq 0.132$ given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.11 \text {. Use } \alpha = 0.05$

Accepted Answer

A) -0.45 
B) -1.645 
C) -0.568 
D) -0.124 
A) -0.45 
B) -1.645 
C) -0.568 
D) -0.124

Question 4

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha .$ Left-tailed test, $\mathrm { n } = 28 , \alpha = 0.10$

Accepted Answer

A)  $\chi ^ { 2 } 0 = 18.114 ; \chi ^ { 2 } < 18.114$ 
B)  $\chi ^ { 2 } 0 = 14.573 ; \chi ^ { 2 } < 14.573$ 
C)  $\chi ^ { 2 } 0 = 16.151 ; \chi ^ { 2 } < 16.151$ 
D)  $\chi ^ { 2 } 0 = 36.741 ; \chi ^ { 2 } < 36.741$ 
A)  $\chi ^ { 2 } 0 = 18.114 ; \chi ^ { 2 } < 18.114$ 
B)  $\chi ^ { 2 } 0 = 14.573 ; \chi ^ { 2 } < 14.573$ 
C)  $\chi ^ { 2 } 0 = 16.151 ; \chi ^ { 2 } < 16.151$ 
D)  $\chi ^ { 2 } 0 = 36.741 ; \chi ^ { 2 } < 36.741$

Question 5

The mean age of bus drivers in Chicago is greater than 54.4 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 support the claim μ $\mu >$ 54.4. 
B) There is sufficient evidence to reject the claim μ $\mu >$ 54.4. 
C) There is not sufficient evidence to reject the claim μ $\mu >$ 54.4. 
D) There is sufficient evidence to support the claim μ $\mu >$ 54.4. 
A) There is not sufficient evidence to support the claim μ $\mu >$ 54.4. 
B) There is sufficient evidence to reject the claim μ $\mu >$ 54.4. 
C) There is not sufficient evidence to reject the claim μ $\mu >$ 54.4. 
D) There is sufficient evidence to support the claim μ $\mu >$ 54.4.

Question 6

Find the critical value and rejection region for the type of t-test with level of significance α $\alpha$
 and sample size n. Two-tailed test, α $\alpha$ = 0.05, n = 38

Accepted Answer

A)  $\mathrm { t } _ { 0 } = - 2.026 , \mathrm { t } _ { 0 } = 2.026 ; \mathrm { t }  2.026$ 
B)  $\mathrm { t } _ { 0 } = - 2.024 , \mathrm { t } _ { 0 } = 2.024 ; \mathrm { t }  2.024$ 
C)  $t _ { 0 } = 2.026 ; t > 2.026$ 
D)  $t _ { 0 } = - 1.687 , t _ { 0 } = 1.687 ; t  1.687$ 
A)  $\mathrm { t } _ { 0 } = - 2.026 , \mathrm { t } _ { 0 } = 2.026 ; \mathrm { t }  2.026$ 
B)  $\mathrm { t } _ { 0 } = - 2.024 , \mathrm { t } _ { 0 } = 2.024 ; \mathrm { t }  2.024$ 
C)  $t _ { 0 } = 2.026 ; t > 2.026$ 
D)  $t _ { 0 } = - 1.687 , t _ { 0 } = 1.687 ; t  1.687$

Question 7

Determine whether the normal sampling distribution can be used. The claim is $p > 0.015$ and the sample size is n = 150.

Accepted Answer

A) Do not use the normal distribution. 
B) Use the normal distribution. 
A) Do not use the normal distribution. 
B) Use the normal distribution.

Question 8

Test the claim that $\sigma ^ { 2 } \geq 16.2 \text { if } \mathrm { n } = 15 , \mathrm {~s} ^ { 2 } = 13.5 \text {, and } \alpha = 0.05 \text {. }$ Assume that the population is normally
distributed.

Accepted Answer

critical value @#IMG-DLM& standardized t

Question 9

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 4.2
years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is
the claim.

Accepted Answer

The answer of The dean of a major university claims...

Question 10

The mean age of bus drivers in Chicago is 48.6 years. Write the null and alternative hypotheses.

Accepted Answer

The answer of The mean age of bus drivers in...

Question 11

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 $\alpha$ = 0.01, test the airlineʹs claim.

Accepted Answer

critical value @#IMG-DLM& -2.33; standar

Question 12

A candidate for governor of a particular state claims to be favored by at least half of the voters. Write the null
and alternative hypotheses.

Accepted Answer

The answer of A candidate for governor of a particular...

Question 13

The mean IQ of statistics teachers is greater than 140. State this claim mathematically. Write the null and
alternative hypotheses. Identify which hypothesis is the claim.

Accepted Answer

The answer of The mean IQ of statistics teachers is...

Question 14

A candidate for governor of a certain state claims to be favored by at least half of the voters. Identify the type I
and type II errors for the hypothesis test of this claim.

Accepted Answer

type I: re

Question 15

Find the critical value and rejection region for the type of t-test with level of significance α $\alpha$ and sample size n. Right-tailed test, α $\alpha$ = 0.1, n = 35

Accepted Answer

A)  $\mathrm { t } _ { 0 } = 1.307 ; \mathrm { t } > 1.307$ 
B)  $t _ { 0 } = 1.306 ; t > 1.306$ 
C)  $\mathrm { t } _ { 0 } = 1.307 ; \mathrm { t }  2.441$ 
A)  $\mathrm { t } _ { 0 } = 1.307 ; \mathrm { t } > 1.307$ 
B)  $t _ { 0 } = 1.306 ; t > 1.306$ 
C)  $\mathrm { t } _ { 0 } = 1.307 ; \mathrm { t }  2.441$

Question 16

A statistics professor at an all-womenʹs college determined that the standard deviation of womenʹs heights is
2.5 inches. The professor then randomly selected 41 male students from a nearby all-male college and found
the standard deviation to be 2.9 inches. Test the professorʹs claim that the standard deviation of male heights is
greater than 2.5 inches. Use $\alpha$ = 0.01.

Accepted Answer

critical value @#IMG-DLM& standardized t

Question 17

The mean IQ of statistics teachers is greater than 110. 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 μ $\mu >$ 11110. 
B) There is sufficient evidence to reject the claim μ $\mu >$ 110. 
C) There is not sufficient evidence to reject the claiclaim $\mu >$ 110. 
D) There is sufficient evidence to support the claim μ $\mu >$ 110. 
A) There is not sufficient evidence to support the claim μ $\mu >$ 11110. 
B) There is sufficient evidence to reject the claim μ $\mu >$ 110. 
C) There is not sufficient evidence to reject the claiclaim $\mu >$ 110. 
D) There is sufficient evidence to support the claim μ $\mu >$ 110.

Question 18

Listed below is the number of tickets issued by a local police department. Assuming that the data is normally
distributed, test the claim that the standard deviation for the data is 15 tickets. Use $\alpha$ = 0.01. $$\begin{array} { l l l l l l l } 
70 & 48 & 41 & 68 & 69 & 55 & 70 \
57 & 60 & 83 & 32 & 60 & 72 & 58
\end{array}$$

Accepted Answer

critical values @#IMG-DLM& standardized

Question 19

The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary
more than the old altimeters, which had a standard deviation of one yard. Write the null and alternative
hypotheses.

Accepted Answer

The answer of The buyer of a local hiking club...

Question 20

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\sigma < 8.2$

Accepted Answer

A)  $\mathrm { H } _ { 0 } : \sigma \geq 8.2 ; \mathrm { H } _ { \mathrm { a } } : \sigma  8.2$ 
D)  $\mathrm { H } _ { 0 } : \sigma = 8.2 ; \mathrm { H } _ { \mathrm { a } } : \sigma \neq 8.2 \text { (claim) }$ 
A)  $\mathrm { H } _ { 0 } : \sigma \geq 8.2 ; \mathrm { H } _ { \mathrm { a } } : \sigma  8.2$ 
D)  $\mathrm { H } _ { 0 } : \sigma = 8.2 ; \mathrm { H } _ { \mathrm { a } } : \sigma \neq 8.2 \text { (claim) }$

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha _ { 2 }$ Right-tailed test, α $\alpha$ = 0.01

The heights (in inches)of 20 randomly selected adult males are listed below. Test the claim that the variance is less than 6.25. Assume the population is normally distributed. Use $\alpha$ = 0.05 and confidence intervals. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72

Determine the standardized test statistic, z, to test the claim about the population proportion $p \geq 0.132$ given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.11 \text {. Use } \alpha = 0.05$

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha .$ Left-tailed test, $\mathrm { n } = 28 , \alpha = 0.10$

The mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Find the critical value and rejection region for the type of t-test with level of significance α $\alpha$ and sample size n. Two-tailed test, α $\alpha$ = 0.05, n = 38

Determine whether the normal sampling distribution can be used. The claim is $p > 0.015$ and the sample size is n = 150.

Test the claim that $\sigma ^ { 2 } \geq 16.2 \text { if } \mathrm { n } = 15 , \mathrm {~s} ^ { 2 } = 13.5 \text {, and } \alpha = 0.05 \text {. }$ Assume that the population is normally distributed.

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 4.2 years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

The mean age of bus drivers in Chicago is 48.6 years. Write the null and alternative hypotheses.

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 $\alpha$ = 0.01, test the airlineʹs claim.

A candidate for governor of a particular state claims to be favored by at least half of the voters. Write the null and alternative hypotheses.

The mean IQ of statistics teachers is greater than 140. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

A candidate for governor of a certain state claims to be favored by at least half of the voters. Identify the type I and type II errors for the hypothesis test of this claim.

Find the critical value and rejection region for the type of t-test with level of significance α $\alpha$ and sample size n. Right-tailed test, α $\alpha$ = 0.1, n = 35

The mean IQ of statistics teachers is greater than 110. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Listed below is the number of tickets issued by a local police department. Assuming that the data is normally distributed, test the claim that the standard deviation for the data is 15 tickets. Use $\alpha$ = 0.01. 70 48 41 68 69 55 70 57 60 83 32 60 72 58

The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary more than the old altimeters, which had a standard deviation of one yard. Write the null and alternative hypotheses.

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\sigma < 8.2$

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With Two Samples

Correlation and Regression

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

Exam 7: Hypothesis Testing With One Sample

Find the critical value and rejection region for the type of z-test with level of significance α α2\alpha _ { 2 }α2​ Right-tailed test, α α\alphaα = 0.01

The heights (in inches)of 20 randomly selected adult males are listed below. Test the claim that the variance is less than 6.25. Assume the population is normally distributed. Use α\alphaα = 0.05 and confidence intervals. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72

Determine the standardized test statistic, z, to test the claim about the population proportion p≥0.132p \geq 0.132p≥0.132 given n=48 and p^=0.11. Use α=0.05\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.11 \text {. Use } \alpha = 0.05n=48 and p^​=0.11. Use α=0.05

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α α.\alpha .α. Left-tailed test, n=28,α=0.10\mathrm { n } = 28 , \alpha = 0.10n=28,α=0.10

The mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Find the critical value and rejection region for the type of t-test with level of significance α α\alphaα and sample size n. Two-tailed test, α α\alphaα = 0.05, n = 38

Determine whether the normal sampling distribution can be used. The claim is p>0.015p > 0.015p>0.015 and the sample size is n = 150.

Test the claim that σ2≥16.2 if n=15, s2=13.5, and α=0.05. \sigma ^ { 2 } \geq 16.2 \text { if } \mathrm { n } = 15 , \mathrm {~s} ^ { 2 } = 13.5 \text {, and } \alpha = 0.05 \text {. }σ2≥16.2 if n=15, s2=13.5, and α=0.05. Assume that the population is normally distributed.

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 4.2 years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

The mean age of bus drivers in Chicago is 48.6 years. Write the null and alternative hypotheses.

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 α\alphaα = 0.01, test the airlineʹs claim.

A candidate for governor of a particular state claims to be favored by at least half of the voters. Write the null and alternative hypotheses.

The mean IQ of statistics teachers is greater than 140. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

A candidate for governor of a certain state claims to be favored by at least half of the voters. Identify the type I and type II errors for the hypothesis test of this claim.

Find the critical value and rejection region for the type of t-test with level of significance α α\alphaα and sample size n. Right-tailed test, α α\alphaα = 0.1, n = 35

The mean IQ of statistics teachers is greater than 110. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Listed below is the number of tickets issued by a local police department. Assuming that the data is normally distributed, test the claim that the standard deviation for the data is 15 tickets. Use α\alphaα = 0.01. 70 48 41 68 69 55 70 57 60 83 32 60 72 58

The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary more than the old altimeters, which had a standard deviation of one yard. Write the null and alternative hypotheses.

The statement represents a claim. Write its complement and state which is H0\mathrm { H } _ { 0 }H0​ and which is HA\mathrm { H } _ { \mathrm { A } }HA​ σ<8.2\sigma < 8.2σ<8.2

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With Two Samples

Correlation and Regression

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha _ { 2 }$ Right-tailed test, α $\alpha$ = 0.01

The heights (in inches)of 20 randomly selected adult males are listed below. Test the claim that the variance is less than 6.25. Assume the population is normally distributed. Use $\alpha$ = 0.05 and confidence intervals. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72

Determine the standardized test statistic, z, to test the claim about the population proportion $p \geq 0.132$ given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.11 \text {. Use } \alpha = 0.05$

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha .$ Left-tailed test, $\mathrm { n } = 28 , \alpha = 0.10$

Find the critical value and rejection region for the type of t-test with level of significance α $\alpha$ and sample size n. Two-tailed test, α $\alpha$ = 0.05, n = 38

Determine whether the normal sampling distribution can be used. The claim is $p > 0.015$ and the sample size is n = 150.

Test the claim that $\sigma ^ { 2 } \geq 16.2 \text { if } \mathrm { n } = 15 , \mathrm {~s} ^ { 2 } = 13.5 \text {, and } \alpha = 0.05 \text {. }$ 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 $\alpha$ = 0.01, test the airlineʹs claim.

Find the critical value and rejection region for the type of t-test with level of significance α $\alpha$ and sample size n. Right-tailed test, α $\alpha$ = 0.1, n = 35

Listed below is the number of tickets issued by a local police department. Assuming that the data is normally distributed, test the claim that the standard deviation for the data is 15 tickets. Use $\alpha$ = 0.01. 70 48 41 68 69 55 70 57 60 83 32 60 72 58

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\sigma < 8.2$