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Question 15, 8.3.15-T
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A data set includes data from student evaluations of courses. The summary statistics are \( n=87, \bar{x}=3.34 \), \( \mathrm{s}=0.65 \). Use a 0.10 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. \( \mathrm{H}_{0}: \mu \neq 3.50 \) B. \( H_{0}: \mu=3.50 \)
\( H_{1}: \mu=3.50 \) \( H_{1}: \mu \neq 3.50 \)
C. \( H_{0}: \mu=3.50 \) D. \( \mathrm{H}_{0}: \mu=3.50 \) \( H_{1}: \mu>3.50 \) \( H_{1}: \mu<3.50 \)
Determine the test statistic.
-2.30 (Round to two decimal places as needed.)
Determine the P -value.
\( \square \) (Round to three decimal places as needed.)
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