5. L. Wallace, the president of a major public university, believes students\' g

Question

5. L. Wallace, the president of a major public university, believes students' grade-point-averages [GPAs] decline when students transition from high school to college, on average. To test President Wallace's belief, you selected a random sample of 45 students enrolled in BMGT 230 this semester and conducted a test to compare each student's high school GPA [hs_gpa] to their current college GPA [coll gpa]. Use the MS Excel output below to answer/complete Parts a through d t-Test: Paired Two Sample for Means hs gpa coll gpa 3.35 0.0893 0.1457 Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T t) one-tail t Critical one-tail P(T

Explanation / Answer

a) H0: h - c 0

H1: h - c > 0

b) As this is a one tail test. From excel output

one tail p value = 0.0000573

c) In the majority of analyses, an alpha of 0.05 is used as the cutoff for significance. If the p-value is less than 0.05, we reject the null hypothesis that there's no difference between the means and conclude that a significant difference does exist.

here, p < alpha

So, null is rejected

d) So, claim is right that GPA decreases when student go from high school to college.

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