Use technology and 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 i normally distributed. Claim: µ > 70; a = 0.01 Sample statistics: x= 71.5, s = 3.4, n=25 What are the null and alternative hypotheses? Choose the correct answer below. VA. Ho: µs70 HA: H> 70 B. Hg μ2 0 Ha: H<70 O C. Ho: u#70 Hạ: H = 70 O D. Ho: H= 70 Hạ: H#70 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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**Transcription for Educational Website:**

**Title:** Hypothesis Testing Using a t-Test

**Instructions:** Use technology and a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the provided sample statistics. Assume the population is normally distributed.

- **Claim:** \( \mu > 70 \)
- **Significance level:** \( \alpha = 0.01 \)
- **Sample statistics:** 
  - Sample mean (\( \bar{x} \)) = 71.5
  - Sample standard deviation (\( s \)) = 3.4
  - Sample size (\( n \)) = 25

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

- **A.** \( H_0: \mu \leq 70 \)  
  \( H_a: \mu > 70 \)  ✔️

- **B.** \( H_0: \mu \geq 70 \)  
  \( H_a: \mu < 70 \)

- **C.** \( H_0: \mu \neq 70 \)  
  \( H_a: \mu = 70 \)

- **D.** \( H_0: \mu = 70 \)  
  \( H_a: \mu \neq 70 \)

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

The standardized test statistic is [  ]. (Round to two decimal places as needed.)
Transcribed Image Text:**Transcription for Educational Website:** **Title:** Hypothesis Testing Using a t-Test **Instructions:** Use technology and a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the provided sample statistics. Assume the population is normally distributed. - **Claim:** \( \mu > 70 \) - **Significance level:** \( \alpha = 0.01 \) - **Sample statistics:** - Sample mean (\( \bar{x} \)) = 71.5 - Sample standard deviation (\( s \)) = 3.4 - Sample size (\( n \)) = 25 **Question:** What are the null and alternative hypotheses? Choose the correct answer below. - **A.** \( H_0: \mu \leq 70 \) \( H_a: \mu > 70 \) ✔️ - **B.** \( H_0: \mu \geq 70 \) \( H_a: \mu < 70 \) - **C.** \( H_0: \mu \neq 70 \) \( H_a: \mu = 70 \) - **D.** \( H_0: \mu = 70 \) \( H_a: \mu \neq 70 \) **Question:** 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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