A data set includes data from student evaluations of courses. The summary statistics aren=99, x = 3.41, s 0.66. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A Ho: H= 3.50 H1: p= 3.50 OB. Ho: H#3.50 H1: u = 3.50 CC Ho: H=3.50 H: u> 3.50- OD. Ho: H= 3.50 H: p< 3.50 Determine the test statistic. (Round to two decimal places as needed.)

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A data set includes data from student evaluations of courses. The summary statistics are \( n = 99 \), \( \bar{x} = 3.41 \), \( s = 0.66 \). Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternative hypotheses?

- **A.** \( H_0: \mu = 3.50 \)  
  \( H_1: \mu \neq 3.50 \)

- **B.** \( H_0: \mu \neq 3.50 \)  
  \( H_1: \mu = 3.50 \)

- **C.** \( H_0: \mu = 3.50 \)  
  \( H_1: \mu > 3.50 \)

- **D.** \( H_0: \mu = 3.50 \)  
  \( H_1: \mu < 3.50 \)

Determine the test statistic.

(Check box: Round to two decimal places as needed.)
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are \( n = 99 \), \( \bar{x} = 3.41 \), \( s = 0.66 \). Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? - **A.** \( H_0: \mu = 3.50 \) \( H_1: \mu \neq 3.50 \) - **B.** \( H_0: \mu \neq 3.50 \) \( H_1: \mu = 3.50 \) - **C.** \( H_0: \mu = 3.50 \) \( H_1: \mu > 3.50 \) - **D.** \( H_0: \mu = 3.50 \) \( H_1: \mu < 3.50 \) Determine the test statistic. (Check box: Round to two decimal places as needed.)
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