Exam 7: Hypothesis Testing With One Sample

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. At α $\alpha$ = 0.05, does the data support the claim? Use a P-value.

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Question 41

Test the claim that $\sigma > 2.76 \text { if } \mathrm { n } = 18 , \mathrm {~s} = 3.28 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

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Question 42

You wish to test the claim that $\mu \leq 24$ at a level of significance of α = 0.01 and are given sample statistics n = 40, $\bar { x } = 25.8 \text {. }$ Assume the population standard deviation is 4.3. Compute the value of the standardized test statistic. Round your answer to two decimal places.

(Multiple Choice)

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Question 43

You wish to test the claim that μ ≠ 14 at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 35, $\overline { \mathrm { x } } = 13.1$ Assume the population standard deviation is 2.7. Compute the value of the standardized test statistic. Round your answer to two decimal places.

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Question 44

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α $\alpha$ = 0.05, test the claim using P-values.

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Question 45

Test the claim that $\mu > 18 ,$ given that , $\sigma = 1.2 , \alpha = 0.05$ and the sample statistics are n = $50 \text { and } \bar { x } = 18.3 \text {. }$

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Question 46

The mean age of bus drivers in Chicago is 51.3 years. Identify the type I and type II errors for the hypothesis test of this claim.

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Question 47

Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } \leq 16 \text { if } \mathrm { n } = 20 , \mathrm {~s} ^ { 2 } = 31 \text {, and } \alpha = 0.01 \text {. }$

(Multiple Choice)

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Question 48

Find the standardized test statistic t for a sample with $\mathrm { n } = 12 , \overline { \mathrm { x } } = 21.7 , \mathrm {~s} = 2.1 \text {, and } \alpha = 0.01 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu \neq 22.2$ Round your answer to three decimal places.

(Multiple Choice)

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Question 49

A fast food outlet claims that the mean waiting time in line is less than 4.9 minutes. A random sample of 20 customers has a mean of 4.7 minutes with a standard deviation of 0.8 minute. If α $\alpha$ = 0.05, test the fast food outletʹs claim using P-values.

(Essay)

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Question 50

The P-value for a hypothesis test is P = 0.066. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ when the level of significance is $\alpha$ = 0.05?

(Multiple Choice)

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Question 51

Test the claim about the population proportion p = 0.250 given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.231 . \text { Use } \alpha = 0.01$

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Question 52

A local school district claims that the number of school days missed by its teachers due to illness is below the national average of $\mu$ = 5. A random sample of 28 teachers provided the data below. At α $\alpha$ = 0.05, test the districtʹs claim using P-values. 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

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Question 53

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. At α $\alpha$ = 0.05, test the claim.

(Essay)

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Question 54

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha.$ Right-tailed test, $\mathrm { n } = 20 , \alpha = 0.01$

(Multiple Choice)

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Question 55

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.45 \text {, }$ for which confidence interval should you reject $\mathrm { H } _ { 0 } ?$

(Multiple Choice)

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Question 56

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1400 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 1390 hours with a standard deviation of 80 hours. Test the manufacturerʹs claim. Use $\alpha$ = 0.05.

(Essay)

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Question 57

The mean score for all NBA games during a particular season was less than 106 points per game. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

(Short Answer)

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Question 58

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\mu$ = 8.3

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Question 59

A trucking firm suspects that the variance for a certain tire 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. If α $\alpha$ = 0.05, test the trucking firmʹs claim using confidence intervals.

(Essay)

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Question 60

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. At α $\alpha$ = 0.05, does the data support the claim? Use a P-value.

Test the claim that $\sigma > 2.76 \text { if } \mathrm { n } = 18 , \mathrm {~s} = 3.28 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

You wish to test the claim that $\mu \leq 24$ at a level of significance of α = 0.01 and are given sample statistics n = 40, $\bar { x } = 25.8 \text {. }$ Assume the population standard deviation is 4.3. Compute the value of the standardized test statistic. Round your answer to two decimal places.

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α $\alpha$ = 0.05, test the claim using P-values.

Test the claim that $\mu > 18 ,$ given that , $\sigma = 1.2 , \alpha = 0.05$ and the sample statistics are n = $50 \text { and } \bar { x } = 18.3 \text {. }$

The mean age of bus drivers in Chicago is 51.3 years. Identify the type I and type II errors for the hypothesis test of this claim.

Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } \leq 16 \text { if } \mathrm { n } = 20 , \mathrm {~s} ^ { 2 } = 31 \text {, and } \alpha = 0.01 \text {. }$

Find the standardized test statistic t for a sample with $\mathrm { n } = 12 , \overline { \mathrm { x } } = 21.7 , \mathrm {~s} = 2.1 \text {, and } \alpha = 0.01 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu \neq 22.2$ Round your answer to three decimal places.

A fast food outlet claims that the mean waiting time in line is less than 4.9 minutes. A random sample of 20 customers has a mean of 4.7 minutes with a standard deviation of 0.8 minute. If α $\alpha$ = 0.05, test the fast food outletʹs claim using P-values.

The P-value for a hypothesis test is P = 0.066. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ when the level of significance is $\alpha$ = 0.05?

Test the claim about the population proportion p = 0.250 given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.231 . \text { Use } \alpha = 0.01$

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. At α $\alpha$ = 0.05, test the claim.

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha.$ Right-tailed test, $\mathrm { n } = 20 , \alpha = 0.01$

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.45 \text {, }$ for which confidence interval should you reject $\mathrm { H } _ { 0 } ?$

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1400 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 1390 hours with a standard deviation of 80 hours. Test the manufacturerʹs claim. Use $\alpha$ = 0.05.

The mean score for all NBA games during a particular season was less than 106 points per game. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\mu$ = 8.3

A trucking firm suspects that the variance for a certain tire 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. If α $\alpha$ = 0.05, test the trucking firmʹs claim using confidence intervals.

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

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. At α α\alphaα = 0.05, does the data support the claim? Use a P-value.

Test the claim that σ>2.76 if n=18, s=3.28, and α=0.01\sigma > 2.76 \text { if } \mathrm { n } = 18 , \mathrm {~s} = 3.28 , \text { and } \alpha = 0.01σ>2.76 if n=18, s=3.28, and α=0.01 Assume that the population is normally distributed.

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α α\alphaα = 0.05, test the claim using P-values.

Test the claim that μ>18,\mu > 18 ,μ>18, given that , σ=1.2,α=0.05\sigma = 1.2 , \alpha = 0.05σ=1.2,α=0.05 and the sample statistics are n = 50 and xˉ=18.3. 50 \text { and } \bar { x } = 18.3 \text {. }50 and xˉ=18.3.

The mean age of bus drivers in Chicago is 51.3 years. Identify the type I and type II errors for the hypothesis test of this claim.

Compute the standardized test statistic, x2x ^ { 2 }x2 to test the claim σ2≤16 if n=20, s2=31, and α=0.01. \sigma ^ { 2 } \leq 16 \text { if } \mathrm { n } = 20 , \mathrm {~s} ^ { 2 } = 31 \text {, and } \alpha = 0.01 \text {. }σ2≤16 if n=20, s2=31, and α=0.01.

A fast food outlet claims that the mean waiting time in line is less than 4.9 minutes. A random sample of 20 customers has a mean of 4.7 minutes with a standard deviation of 0.8 minute. If α α\alphaα = 0.05, test the fast food outletʹs claim using P-values.

The P-value for a hypothesis test is P = 0.066. Do you reject or fail to reject H0\mathrm { H } _ { 0 }H0​ when the level of significance is α\alphaα = 0.05?

Test the claim about the population proportion p = 0.250 given n=48 and p^=0.231. Use α=0.01\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.231 . \text { Use } \alpha = 0.01n=48 and p^​=0.231. Use α=0.01

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. At α α\alphaα = 0.05, test the claim.

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. Right-tailed test, n=20,α=0.01\mathrm { n } = 20 , \alpha = 0.01n=20,α=0.01

Given H0:p≥0.45, \mathrm { H } _ { 0 } : \mathrm { p } \geq 0.45 \text {, }H0​:p≥0.45, for which confidence interval should you reject H0?\mathrm { H } _ { 0 } ?H0​?

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1400 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 1390 hours with a standard deviation of 80 hours. Test the manufacturerʹs claim. Use α\alphaα = 0.05.

The mean score for all NBA games during a particular season was less than 106 points per game. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

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​ μ\muμ = 8.3

A trucking firm suspects that the variance for a certain tire 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. If α α\alphaα = 0.05, test the trucking firmʹs claim using confidence intervals.

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

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. At α $\alpha$ = 0.05, does the data support the claim? Use a P-value.

Test the claim that $\sigma > 2.76 \text { if } \mathrm { n } = 18 , \mathrm {~s} = 3.28 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α $\alpha$ = 0.05, test the claim using P-values.

Test the claim that $\mu > 18 ,$ given that , $\sigma = 1.2 , \alpha = 0.05$ and the sample statistics are n = $50 \text { and } \bar { x } = 18.3 \text {. }$

Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } \leq 16 \text { if } \mathrm { n } = 20 , \mathrm {~s} ^ { 2 } = 31 \text {, and } \alpha = 0.01 \text {. }$

A fast food outlet claims that the mean waiting time in line is less than 4.9 minutes. A random sample of 20 customers has a mean of 4.7 minutes with a standard deviation of 0.8 minute. If α $\alpha$ = 0.05, test the fast food outletʹs claim using P-values.

The P-value for a hypothesis test is P = 0.066. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ when the level of significance is $\alpha$ = 0.05?

Test the claim about the population proportion p = 0.250 given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.231 . \text { Use } \alpha = 0.01$

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. At α $\alpha$ = 0.05, test the claim.

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha.$ Right-tailed test, $\mathrm { n } = 20 , \alpha = 0.01$

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.45 \text {, }$ for which confidence interval should you reject $\mathrm { H } _ { 0 } ?$

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1400 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 1390 hours with a standard deviation of 80 hours. Test the manufacturerʹs claim. Use $\alpha$ = 0.05.

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\mu$ = 8.3

A trucking firm suspects that the variance for a certain tire 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. If α $\alpha$ = 0.05, test the trucking firmʹs claim using confidence intervals.