DMV Wait Times A state Department of Transportation claims that the mean wait time for various services at its different locations is at most 6 minutes. A random sample of 34 services at different locations has a mean wait time of 10.3 minutes and a standard deviation of 8.0 minutes. Is there enough evidence to reject the claim at a = 0.01?

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question 20 

# Using and Interpreting Concepts

## Hypothesis Testing Using Rejection Regions

In Exercises 19-26:

(a) Identify the claim and state \( H_0 \) and \( H_a \).

(b) Find the critical value(s) and identify the rejection region(s).

(c) Find the standardized test statistic \( t \).

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim. 

Assume the population is normally distributed.

### 19. Used Car Cost

A used car dealer says that the mean price of a three-year-old sport utility vehicle (in good condition) is $20,000. You suspect this claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $20,640 and a standard deviation of $1990. Is there enough evidence to reject the claim at \( \alpha = 0.05 \)?

### 20. DMV Wait Times

A state Department of Transportation claims that the mean wait time for various services at its different locations is at most 6 minutes. A random sample of 34 services at different locations has a mean wait time of 10.3 minutes and a standard deviation of 8.0 minutes. Is there enough evidence to reject the claim at \( \alpha = 0.01 \)?

### 21. Credit Card Debt

A credit reporting agency claims that the mean credit card debt by state is greater than $5500 per person. You want to test the claim. You find that a random sample of 30 states has a mean credit card debt of $5594 per person and a standard deviation of $597 per person. At \( \alpha = 0.05 \), can you support the claim? *(Adapted from TransUnion)*

### 22. Battery Life

A company claims that the mean battery life of their MP3 player is at least 30 hours. You suspect this claim is incorrect and find that a random sample of 18 MP3 players has a mean battery life of 28.5 hours and a standard deviation of 1.7 hours. Is there enough evidence to reject the claim at \( \alpha = 0.01 \)?

### 23. Carbon Monoxide Levels

As part of your work for an environmental awareness group, you want to test a claim that the mean amount of carbon monoxide in the air in U.S. cities
Transcribed Image Text:# Using and Interpreting Concepts ## Hypothesis Testing Using Rejection Regions In Exercises 19-26: (a) Identify the claim and state \( H_0 \) and \( H_a \). (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic \( t \). (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. Assume the population is normally distributed. ### 19. Used Car Cost A used car dealer says that the mean price of a three-year-old sport utility vehicle (in good condition) is $20,000. You suspect this claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $20,640 and a standard deviation of $1990. Is there enough evidence to reject the claim at \( \alpha = 0.05 \)? ### 20. DMV Wait Times A state Department of Transportation claims that the mean wait time for various services at its different locations is at most 6 minutes. A random sample of 34 services at different locations has a mean wait time of 10.3 minutes and a standard deviation of 8.0 minutes. Is there enough evidence to reject the claim at \( \alpha = 0.01 \)? ### 21. Credit Card Debt A credit reporting agency claims that the mean credit card debt by state is greater than $5500 per person. You want to test the claim. You find that a random sample of 30 states has a mean credit card debt of $5594 per person and a standard deviation of $597 per person. At \( \alpha = 0.05 \), can you support the claim? *(Adapted from TransUnion)* ### 22. Battery Life A company claims that the mean battery life of their MP3 player is at least 30 hours. You suspect this claim is incorrect and find that a random sample of 18 MP3 players has a mean battery life of 28.5 hours and a standard deviation of 1.7 hours. Is there enough evidence to reject the claim at \( \alpha = 0.01 \)? ### 23. Carbon Monoxide Levels As part of your work for an environmental awareness group, you want to test a claim that the mean amount of carbon monoxide in the air in U.S. cities
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