Question

Test the claim that the mean GPA of night students is larger than 2.6 at the 0.10 significance level. The null and alternative hypothesis would be: H 0 : μ = 2.6 H 1 : μ ≠ 2.6 H 0 : μ ≥ 2.6 H 1 : μ < 2.6 H 0 : p ≤ 0.65 H 1 : p > 0.65 H 0 : p = 0.65 H 1 : p ≠ 0.65 H 0 : p ≥ 0.65 H 1 : p < 0.65 H 0 : μ ≤ 2.6 H 1 : μ > 2.6 The test is: left-tailed right-tailed two-tailed Based on a sample of 20 people, the sample mean GPA was 2.61 with a standard deviation of 0.03 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Answer 1

a) H₀ : µ < 2.6, H₁ : µ > 2.6

b) This is a right-tailed test.

c) Test statistic

                        

                         = 1.49

d) P-value = P(t₁₉ > 1.49) = 0.08

Since p-value is less than significance level, we should reject the null hypothesis