A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. At a=0.025, test the company's claim. Assume the population is normally distributed Click here to view the t-distribution table Click here to view page 1 of the normal table Click here to view page 2 of the normal table State the appropriate hypotheses to test OA. H, us23 H, p> 23 B. H p2 23 H, p<23 O D. H, u#23 H, p=23 OC. H, u= 23 H, u#23 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.)

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A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. At α = 0.025, test the company’s claim. Assume the population is normally distributed.

- **Click here to view the t-distribution table.**
- **Click here to view page 1 of the normal table.**
- **Click here to view page 2 of the normal table.**

**State the appropriate hypotheses to test.**

- A. \( H_0: \mu \leq 23 \)  
  \( H_a: \mu > 23 \)

- B. \( H_0: \mu \geq 23 \)  
  \( H_a: \mu < 23 \)  ✓

- C. \( H_0: \mu = 23 \)  
  \( H_a: \mu \neq 23 \)

- D. \( H_0: \mu \neq 23 \)  
  \( H_a: \mu = 23 \)

**What is the value of the standardized test statistic?**

The standardized test statistic is [ ] (Round to two decimal places as needed.)
Transcribed Image Text:A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. At α = 0.025, test the company’s claim. Assume the population is normally distributed. - **Click here to view the t-distribution table.** - **Click here to view page 1 of the normal table.** - **Click here to view page 2 of the normal table.** **State the appropriate hypotheses to test.** - A. \( H_0: \mu \leq 23 \) \( H_a: \mu > 23 \) - B. \( H_0: \mu \geq 23 \) \( H_a: \mu < 23 \) ✓ - C. \( H_0: \mu = 23 \) \( H_a: \mu \neq 23 \) - D. \( H_0: \mu \neq 23 \) \( H_a: \mu = 23 \) **What is the value of the standardized test statistic?** The standardized test statistic is [ ] (Round to two decimal places as needed.)
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