Question 1

Test Hypotheses about a Population Proportion
-The greater the power of the test the more likely the test will

Accepted Answer

A)  reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is true. 
B)  reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is false. 
C)  fail to reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is true. 
D)  fail to reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is false. 
A)  reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is true. 
B)  reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is false. 
C)  fail to reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is true. 
D)  fail to reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is false.

Question 2

Test Hypotheses about a Population Mean with Known Using the Classical Approach
-$$\text { Test the claim that } \mu \neq 18 \text {, given that } \alpha = 0.05 \text { and the sample statistics are } \mathrm { n } = 35 , \overline { \mathrm { x } } = 17.1 \text { and } \sigma = 2.7 \text {. }$$

Accepted Answer

The answer of Test Hypotheses about a Population Mean with...

Question 3

Test Hypotheses about a Population Mean with Unknown
-A manufacturer claims that the mean lifetime of its lithium batteries is 1000 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 990 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use $\alpha = 0.05$.

Accepted Answer

critical value @#LAT-DLM&; standardized

Question 4

Test Hypotheses about a Population Proportion
-A shipping firm suspects that the variance for a certain brand of tire used by its trucks is greater than $1,000,000$. To check the claim, the firm puts 101 of these tires on its trucks and gets a standard deviation of 1200 miles. At $\alpha = 0.05$, test the shipping firm's claim.

Accepted Answer

critical value @#LAT-DLM&; standardized

Question 5

Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu \neq 43$ at a level of significance of $\alpha = 0.05$ and are given sample statistics $\mathrm { n } = 35$, $\bar { x } = 42.1$, and $\sigma = 2.7$. Compute the value of the test statistic. Round your answer to two decimal places.

Accepted Answer

A)  $- 1.97$ 
B)  $- 3.12$ 
C)  $- 2.86$ 
D)  $- 1.83$ 
A)  $- 1.97$ 
B)  $- 3.12$ 
C)  $- 2.86$ 
D)  $- 1.83$

Question 6

Test Hypotheses about a Population Proportion
-Test the claim that $\sigma = 16.56$ if $\mathrm { n } = 12 , \mathrm {~s} = 15.2$, and $\alpha = 0.05$. Assume that the population is normally distributed.

Accepted Answer

critical values @#LAT-DLM& and @#LAT-DLM&; standar

Question 7

Test Hypotheses about a Population Mean with Unknown
-Find the standardized test statistic $t$ for a sample with $\mathrm { n } = 25 , \overline { \mathrm { x } } = 19 , \mathrm {~s} = 3$, and $\alpha = 0.005$ if $\mathrm { H } _ { 1 } : \mu > 18$. Round your answer to three decimal places.

Accepted Answer

A)  $1.667$ 
B)  $1.997$ 
C)  $1.452$ 
D)  $1.239$ 
A)  $1.667$ 
B)  $1.997$ 
C)  $1.452$ 
D)  $1.239$

Question 8

Test Hypotheses about a Population Mean with Known Using P-values
-Suppose you are using $\alpha = 0.05$ to test the claim that $\mu \neq 25$ using a P-value. You are given the sample statistics $\mathrm { n } = 35 , \overline { \mathrm { x } } = 24.1$, and $\sigma = 2.7$. Find the $\mathrm { P }$-value.

Accepted Answer

A)  $0.0448$ 
B)  $0.0591$ 
C)  $0.1003$ 
D)  $0.0244$ 
A)  $0.0448$ 
B)  $0.0591$ 
C)  $0.1003$ 
D)  $0.0244$

Question 9

Test Hypotheses about a Population Proportion
-Compute the standardized test statistic, $\chi ^ { 2 }$, to test the claim $\sigma ^ { 2 } > 7.6$ if $\mathrm { n } = 18$, $\mathrm { s } ^ { 2 } = 10.8$, and $\alpha = 0.01$.

Accepted Answer

A)  $24.158$ 
B)  $28.175$ 
C)  $33.233$ 
D)  $43.156$ 
A)  $24.158$ 
B)  $28.175$ 
C)  $33.233$ 
D)  $43.156$

Question 10

Test Hypotheses about a Population Mean with Known Using Confidence Intervals
-A random sample of 56 lithium batteries has a mean life of 645 hours with a standard deviation of 31 hours. A leading consumer journal states that the mean life for these batteries is $\mu = 639$ hours. Test this hypothesis by constructing a $95 \%$ confidence interval for the population mean.

Accepted Answer

The answer of Test Hypotheses about a Population Mean with...

Question 11

Explain Type I and Type II Errors
-A referendum for an upcoming election is favored by more than half of the voters. Identify the type I and type II errors for the hypothesis test of this claim.

Accepted Answer

type I: rejecting @#LAT-DLM& w

Question 12

Test Hypotheses about a Population Mean with Unknown
-Find the standardized test statistic $t$ for a sample with $\mathrm { n } = 15 , \overline { \mathrm { x } } = 10.8 , \mathrm {~s} = 0.8$, and $\alpha = 0.05$ if $\mathrm { H } _ { 0 } : \mu \leq 10.5$. Round your answer to three decimal places.

Accepted Answer

A)  $1.452$ 
B)  $1.728$ 
C)  $1.631$ 
D)  $1.312$ 
A)  $1.452$ 
B)  $1.728$ 
C)  $1.631$ 
D)  $1.312$

Question 13

Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu \neq 1220$ at a level of significance of $\alpha = 0.01$ and are given sample statistics $\mathrm { n } = 35 , \overline { \mathrm { x } } = 1190$ and $\sigma = 82$. Compute the value of the test statistic. Round your answer to two decimal places.

Accepted Answer

A)  $- 2.16$ 
B)  $- 3.82$ 
C)  $- 4.67$ 
D)  $- 5.18$ 
A)  $- 2.16$ 
B)  $- 3.82$ 
C)  $- 4.67$ 
D)  $- 5.18$

Question 14

Test Hypotheses about a Population Proportion
-According to a national statistics bureau, in $2000,3.7 \%$ of males living in the Southwest were retired exterminators. A researcher believes that the percentage has increased since then. She randomly selects 250 males in the Southwest and finds that 4 of them are retired exterminators. Test this researcher's claim at the $\alpha = 0.1$ level of significance.

Accepted Answer

@#LAT-DLM& and @#LAT-DLM&
Since @#LAT-DLM&, we calculate the

Question 15

Test Hypotheses about a Population Proportion
-Compute the standardized test statistic, $\chi ^ { 2 }$, to test the claim $\sigma ^ { 2 } = 38.7$ if $n = 12 , \mathrm {~s} ^ { 2 } = 32.4$, and $\alpha = 0.05$.

Accepted Answer

A)  $9.209$ 
B)  $12.961$ 
C)  $18.490$ 
D)  $0.492$ 
A)  $9.209$ 
B)  $12.961$ 
C)  $18.490$ 
D)  $0.492$

Question 16

Test Hypotheses about a Population Proportion
-The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds $35 \%$, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 85 have PC's at home. Find the rejection region for this test using $\alpha = 0.10$.

Accepted Answer

A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } > 1.28$. B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } 1.645$ or $\mathrm { z } < - 1.645$. D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } = 1.28$. A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } > 1.28$. B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } 1.645$ or $\mathrm { z } < - 1.645$. D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } = 1.28$.

Question 17

Test Hypotheses about a Population Mean with Known Using P-values
-A local company claims that the number of days missed by its employees due to illness is below the national average of 5 . A random sample of 40 employees provided the data below. At $\alpha = 0.05$, test the company's claim using $\mathrm { P }$-values.
$\begin{array} { c c c c c c c c c c } 0 & 3 & 6 & 3 & 3 & 5 & 4 & 1 & 3 & 5 \ 7 & 3 & 1 & 2 & 3 & 3 & 2 & 4 & 1 & 6 \ 2 & 5 & 2 & 8 & 3 & 1 & 2 & 5 & 4 & 1 \ 1 & 1 & 2 & 1 & 5 & 7 & 5 & 4 & 9 & 3 \end{array}$

Accepted Answer

The answer of Test Hypotheses about a Population Mean with...

Question 18

Test Hypotheses about a Population Proportion
-A pharmaceutical company manufactures a 81 -mg pain reliever. Company specifications include that the standard deviation of the amount of the active ingredient must not exceed $2 \mathrm { mg }$. The quality -control manager selects a random sample of 30 tablets from a certain batch and finds that the standard deviation is $2.4 \mathrm { mg }$. Assume that the amount of the active ingredient is normally distributed. Test the claim that the standard deviation of the amount of the active ingredient is greater than $2 \mathrm { mg }$ at the $\alpha = 0.05$ level of significance.

Accepted Answer

@#LAT-DLM&-value @#LAT-DLM&; do not to reject @#LAT-DLM&. Th

Question 19

Test Hypotheses about a Population Proportion
-In a sample, 76 people or $38 \%$ of the people in the sample said that the mayor should be prosecuted for misconduct. How many people where in the sample?

Accepted Answer

A)  200 
B)  29 
C)  105 
D)  50 
A)  200 
B)  29 
C)  105 
D)  50

Question 20

Explain the Logic of Hypothesis Testing
-Suppose you want to test the claim that $\mu \leq 25.6$. Given a sample size of $n = 59$ and a level of significance of $\alpha = 0.1$, when should you reject $\mathrm { H } _ { 0 }$ ?

Accepted Answer

A)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than 1.28. 
B)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $2.575$. 
C)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $1.645$. 
D)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $1.96$. 
A)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than 1.28. 
B)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $2.575$. 
C)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $1.645$. 
D)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $1.96$.

Test Hypotheses about a Population Proportion -The greater the power of the test the more likely the test will

Test Hypotheses about a Population Mean with Known Using the Classical Approach - $\text { Test the claim that } \mu \neq 18 \text {, given that } \alpha = 0.05 \text { and the sample statistics are } \mathrm { n } = 35 , \overline { \mathrm { x } } = 17.1 \text { and } \sigma = 2.7 \text {. }$

Test Hypotheses about a Population Proportion -Test the claim that $\sigma = 16.56$ if $\mathrm { n } = 12 , \mathrm {~s} = 15.2$ , and $\alpha = 0.05$ . Assume that the population is normally distributed.

Test Hypotheses about a Population Mean with Unknown -Find the standardized test statistic $t$ for a sample with $\mathrm { n } = 25 , \overline { \mathrm { x } } = 19 , \mathrm {~s} = 3$ , and $\alpha = 0.005$ if $\mathrm { H } _ { 1 } : \mu > 18$ . Round your answer to three decimal places.

Test Hypotheses about a Population Proportion -Compute the standardized test statistic, $\chi ^ { 2 }$ , to test the claim $\sigma ^ { 2 } > 7.6$ if $\mathrm { n } = 18$ , $\mathrm { s } ^ { 2 } = 10.8$ , and $\alpha = 0.01$ .

Explain Type I and Type II Errors -A referendum for an upcoming election is favored by more than half of the voters. Identify the type I and type II errors for the hypothesis test of this claim.

Test Hypotheses about a Population Proportion -Compute the standardized test statistic, $\chi ^ { 2 }$ , to test the claim $\sigma ^ { 2 } = 38.7$ if $n = 12 , \mathrm {~s} ^ { 2 } = 32.4$ , and $\alpha = 0.05$ .

Test Hypotheses about a Population Proportion -In a sample, 76 people or $38 \%$ of the people in the sample said that the mayor should be prosecuted for misconduct. How many people where in the sample?

Explain the Logic of Hypothesis Testing -Suppose you want to test the claim that $\mu \leq 25.6$ . Given a sample size of $n = 59$ and a level of significance of $\alpha = 0.1$ , when should you reject $\mathrm { H } _ { 0 }$ ?

Data Collection

Creating Tables and Drawing Pictures of 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 Using Confidence Intervals

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Exam 10: Hypothesis Tests Regarding a Parameter

Test Hypotheses about a Population Proportion -The greater the power of the test the more likely the test will

Test Hypotheses about a Population Proportion -Test the claim that σ=16.56\sigma = 16.56σ=16.56 if n=12, s=15.2\mathrm { n } = 12 , \mathrm {~s} = 15.2n=12, s=15.2 , and α=0.05\alpha = 0.05α=0.05 . Assume that the population is normally distributed.

Test Hypotheses about a Population Proportion -Compute the standardized test statistic, χ2\chi ^ { 2 }χ2 , to test the claim σ2>7.6\sigma ^ { 2 } > 7.6σ2>7.6 if n=18\mathrm { n } = 18n=18 , s2=10.8\mathrm { s } ^ { 2 } = 10.8s2=10.8 , and α=0.01\alpha = 0.01α=0.01 .

Explain Type I and Type II Errors -A referendum for an upcoming election is favored by more than half of the voters. Identify the type I and type II errors for the hypothesis test of this claim.

Test Hypotheses about a Population Proportion -Compute the standardized test statistic, χ2\chi ^ { 2 }χ2 , to test the claim σ2=38.7\sigma ^ { 2 } = 38.7σ2=38.7 if n=12, s2=32.4n = 12 , \mathrm {~s} ^ { 2 } = 32.4n=12, s2=32.4 , and α=0.05\alpha = 0.05α=0.05 .

Test Hypotheses about a Population Proportion -In a sample, 76 people or 38%38 \%38% of the people in the sample said that the mayor should be prosecuted for misconduct. How many people where in the sample?

Explain the Logic of Hypothesis Testing -Suppose you want to test the claim that μ≤25.6\mu \leq 25.6μ≤25.6 . Given a sample size of n=59n = 59n=59 and a level of significance of α=0.1\alpha = 0.1α=0.1 , when should you reject H0\mathrm { H } _ { 0 }H0​ ?

Data Collection

Creating Tables and Drawing Pictures of 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 Using Confidence Intervals

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Test Hypotheses about a Population Proportion -Test the claim that $\sigma = 16.56$ if $\mathrm { n } = 12 , \mathrm {~s} = 15.2$ , and $\alpha = 0.05$ . Assume that the population is normally distributed.

Test Hypotheses about a Population Proportion -Compute the standardized test statistic, $\chi ^ { 2 }$ , to test the claim $\sigma ^ { 2 } > 7.6$ if $\mathrm { n } = 18$ , $\mathrm { s } ^ { 2 } = 10.8$ , and $\alpha = 0.01$ .

Test Hypotheses about a Population Proportion -Compute the standardized test statistic, $\chi ^ { 2 }$ , to test the claim $\sigma ^ { 2 } = 38.7$ if $n = 12 , \mathrm {~s} ^ { 2 } = 32.4$ , and $\alpha = 0.05$ .

Test Hypotheses about a Population Proportion -In a sample, 76 people or $38 \%$ of the people in the sample said that the mayor should be prosecuted for misconduct. How many people where in the sample?

Explain the Logic of Hypothesis Testing -Suppose you want to test the claim that $\mu \leq 25.6$ . Given a sample size of $n = 59$ and a level of significance of $\alpha = 0.1$ , when should you reject $\mathrm { H } _ { 0 }$ ?