Question

Test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.2 significance level. The null and alternative hypothesis would be: H 0 : μ = 3.3 H 0 : μ = 3.3 H 1 : μ ≠ 3.3 H 1 : μ ≠ 3.3 H 0 : p ≥ 0.825 H 0 : p ≥ 0.825 H 1 : p < 0.825 H 1 : p < 0.825 H 0 : μ ≤ 3.3 H 0 : μ ≤ 3.3 H 1 : μ > 3.3 H 1 : μ > 3.3 H 0 : p = 0.825 H 0 : p = 0.825 H 1 : p ≠ 0.825 H 1 : p ≠ 0.825 H 0 : μ ≥ 3.3 H 0 : μ ≥ 3.3 H 1 : μ < 3.3 H 1 : μ < 3.3 H 0 : p ≤ 0.825 H 0 : p ≤ 0.825 H 1 : p > 0.825 H 1 : p > 0.825 The test is: left-tailed two-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 3.25 with a standard deviation of 0.06 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 3.3

H_a : 3.3

Test statistic = t

= ( - ) / s / n

= (3.25 - 3.3) / 0.06 / 65

Test statistic = -6.72

df = 64

P-value = 0.00

= 0.2

P-value <

Reject the null hypothesis .