Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ = 52,300; a = 0.05 Sample statistics: x = 52,498, s = 2200, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. Ο Α. Η μ5 52,300 Ha: µ> 52,300 B. H: μ2 52,300 Hại µ< 52,300 Họ: H#52,300 Ha: µ= 52,300 D. Ho: µ= 52,300 Hại H#52,300 What is the value of the standardized test statistic? The standardized test statistic is 0.38 . (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are). (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.

**Claim:** μ = 52,300; α = 0.05  
**Sample statistics:** x̄ = 52,498, s = 2200, n = 18  

Click the icon to view the t-distribution table.

**What are the null and alternative hypotheses? Choose the correct answer below.**

- A. \( H_0: \mu \leq 52,300 \)  
  \( H_a: \mu > 52,300 \)

- B. \( H_0: \mu \geq 52,300 \)  
  \( H_a: \mu < 52,300 \)

- C. \( H_0: \mu \neq 52,300 \)  
  \( H_a: \mu = 52,300 \)

- D. \( H_0: \mu = 52,300 \)  
  \( H_a: \mu \neq 52,300 \) (Correct Answer)

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

The standardized test statistic is **0.38**. (Round to two decimal places as needed.)

**What is(are) the critical value(s)?**

The critical value(s) is(are) \[\_\_\_\].  
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. **Claim:** μ = 52,300; α = 0.05 **Sample statistics:** x̄ = 52,498, s = 2200, n = 18 Click the icon to view the t-distribution table. **What are the null and alternative hypotheses? Choose the correct answer below.** - A. \( H_0: \mu \leq 52,300 \) \( H_a: \mu > 52,300 \) - B. \( H_0: \mu \geq 52,300 \) \( H_a: \mu < 52,300 \) - C. \( H_0: \mu \neq 52,300 \) \( H_a: \mu = 52,300 \) - D. \( H_0: \mu = 52,300 \) \( H_a: \mu \neq 52,300 \) (Correct Answer) **What is the value of the standardized test statistic?** The standardized test statistic is **0.38**. (Round to two decimal places as needed.) **What is(are) the critical value(s)?** The critical value(s) is(are) \[\_\_\_\]. (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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