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 a = 0.05?

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quesion 19 

## 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
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
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