Question

Mock_sat. suppose eight college-bound students take a mock sat, complete a three-month test-prep course, and then take the real sat. a. specify the competing hypotheses to determine whether the median score on the real sat is greater than the median score on the mock sat. b. at the 5% significance level, is there sufficient evidence to conclude that the median score on the real sat is greater thar the median score on the mock sat? explain.

Answer 1

The competing hypotheses are the null hypothesis stating that the median score on the real SAT is equal to or less than the median score on the mock SAT and the alternative hypothesis stating that the median score on the real SAT is greater than the median score on the mock SAT. To determine if there is sufficient evidence, a hypothesis test needs to be performed at a 5% significance level.

Step-by-step explanation:

a. The competing hypotheses to determine whether the median score on the real SAT is greater than the median score on the mock SAT are:

Null hypothesis (H0): The median score on the real SAT is equal to or less than the median score on the mock SAT.

Alternative hypothesis (Ha): The median score on the real SAT is greater than the median score on the mock SAT.

b. To determine if there is sufficient evidence to conclude that the median score on the real SAT is greater than the median score on the mock SAT, a hypothesis test needs to be performed. The specific test used would depend on the characteristics of the data and the assumptions made. The significance level is given as 5%, which means that if the p-value obtained from the hypothesis test is less than 0.05, there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.