What is the critical value? The critical value is (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A car company claims that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). Believing this claim to be incorrect, you find that a random sample of 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. With a significance level of α = 0.025, test the company's claim by assuming 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.**

**Select the correct hypothesis test:**
- \( \text{A: } H_0: \mu \ge 23, \quad H_1: \mu < 23 \)
- \( \text{B: } H_0: \mu \le 23, \quad H_1: \mu > 23 \)
- \( \text{C: } H_0: \mu = 23, \quad H_1: \mu \ne 23 \)
- \( \text{D: } H_0: \mu \ne 23, \quad H_1: \mu = 23 \)

**What is the value of the standardized test statistic?**
The standardized test statistic is \( -1.41 \). (Round to two decimal places as needed.)

**What is the critical value?**
The critical value is \( \_\_\_ \). (Round to three decimal places as needed.)
Transcribed Image Text:A car company claims that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). Believing this claim to be incorrect, you find that a random sample of 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. With a significance level of α = 0.025, test the company's claim by assuming 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.** **Select the correct hypothesis test:** - \( \text{A: } H_0: \mu \ge 23, \quad H_1: \mu < 23 \) - \( \text{B: } H_0: \mu \le 23, \quad H_1: \mu > 23 \) - \( \text{C: } H_0: \mu = 23, \quad H_1: \mu \ne 23 \) - \( \text{D: } H_0: \mu \ne 23, \quad H_1: \mu = 23 \) **What is the value of the standardized test statistic?** The standardized test statistic is \( -1.41 \). (Round to two decimal places as needed.) **What is the critical value?** The critical value is \( \_\_\_ \). (Round to three decimal places as needed.)
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