The Next Questions Are Based On The Following Information:
A professor claims that the average score on a recent exam was 83.Suppose you want to test whether the professor's statement is correct.Assume that the test scores are normally distributed.You ask some people in class how they did,and record the following scores: 82,77,85,76,81,91,70,and 82.
-What is the appropriate decision rule?

Question

The Next Questions Are Based On The Following Information: A professor claims that the average score on a recent exam was 83.Suppose you want to test whether the professor's statement is correct.Assume that the test scores are normally distributed.You ask some people in class how they did,and record the following scores: 82,77,85,76,81,91,70,and 82. -What is the appropriate decision rule? A)Reject H₀ if t statistic > t_α,_n_-1 B)Reject H₀ if t statistic < -t_n_-1,α/2or > t_n_-1,α/2 C)Reject H₀ if t statistic = t_α,n_-1 D)Reject H₀ if t statistic < -t_α,n_-1

Quizplus · Accepted Answer

The appropriate decision rule for testing the professor's claim is to use a one-sample t-test with a significance level of α/2. The null hypothesis (H0) is that the true mean (μ) equals 83, and the alternative hypothesis (Ha) is that μ is not equal to 83. The decision rule is to reject H0 if the calculated t-statistic is less than -tα/2,n-1 or greater than tα/2,n-1, where α/2 is the significance level divided by 2 for a two-tailed test, and n-1 is the degrees of freedom. Therefore, the correct answer is B.

The Next Questions Are Based on the Following Information