Question

Test the claim that the mean GPA of college freshmen is higher than 2.20 at the significance level 0.05 Based on a sample of 25 college freshmen, theeir mean GPA is 2.41 with standard deviation 0.13 Part 1: what is the H1 statement? Part 2: what is the claim? Part 3: what is the test statistic? Select one: a. Part 1 H1 μ < 2.41 Part 2 Ho is the claim Part 3 test statistic = 1.3316 b. Part 1 H1 μ > 2.20 Part 2 H1 is the claim Part 3 test statistic = 8.077 c. Part 1 H1 μ < 2.20 Part 2 Ho is the claim Part 3 test statistic = 11.94 d. Part 1 H1 μ < 2.41 Part 2 H1 is the claim Part 3 test statistic = 0.0000

Answer 1

Given that, sample size (n) = 25, sample mean = 2.41 and

sample standard deviation (s) = 0.13

We want to test the claim that the mean GPA of college freshmen is higher than 2.20

Part 1) The alternative hypothesis: H1 : μ > 2.20

Part 2) H1 is the claim

Part 3) Test statistic is,

=> Test statistic = 8.077

Answer : b) Part 1) H1 μ > 2.20, Part 2) H1 is the claim, Part 3) test statistic = 8.077