A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sampl 20 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.08 seconds. At a = 0.01 is there enou evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. %3D (a) Identify the claim and state H, and Ha. Ho: 14.7 На 14.7 > (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t.

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# Hypothesis Testing Exercise

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.08 seconds. At α = 0.01, is there enough evidence to support the consumer group's claim?

Complete parts (a) through (d) below. Assume the population is normally distributed.

### (a) Identify the Claim and State \( H_0 \) and \( H_a \)

- Null Hypothesis (\( H_0 \)): \( \mu \leq 14.7 \)
- Alternative Hypothesis (\( H_a \)): \( \mu > 14.7 \)

*(Type integers or decimals. Do not round.)*

The claim is the **alternative hypothesis**.

### (b) Use Technology to Find the P-value

Find the standardized test statistic, t. Enter your answer in the answer box and then click Check Answer.

**Progress Bar**
- 3 parts remaining

*(No graphs or diagrams are provided in this image. It is a screenshot of an educational tool with a focus on hypothesis testing.)*
Transcribed Image Text:# Hypothesis Testing Exercise A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.08 seconds. At α = 0.01, is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. ### (a) Identify the Claim and State \( H_0 \) and \( H_a \) - Null Hypothesis (\( H_0 \)): \( \mu \leq 14.7 \) - Alternative Hypothesis (\( H_a \)): \( \mu > 14.7 \) *(Type integers or decimals. Do not round.)* The claim is the **alternative hypothesis**. ### (b) Use Technology to Find the P-value Find the standardized test statistic, t. Enter your answer in the answer box and then click Check Answer. **Progress Bar** - 3 parts remaining *(No graphs or diagrams are provided in this image. It is a screenshot of an educational tool with a focus on hypothesis testing.)*
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