Question

Test the claim that the mean GPA of night students is smaller than 2.4 at the .01 significance level. The null and alternative hypothesis would be: H 0 : p = 0.6 H 1 : p ≠ 0.6 H 0 : μ = 2.4 H 1 : μ ≠ 2.4 H 0 : μ = 2.4 H 1 : μ > 2.4 H 0 : μ = 2.4 H 1 : μ < 2.4 H 0 : p = 0.6 H 1 : p < 0.6 H 0 : p = 0.6 H 1 : p > 0.6 The test is: two-tailed left-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.37 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Answer 1

Given : Sample size=n=55

Sample mean=

Sample standard deviation=s=0.04

Significance level=

Hypothesis : Vs

The test is left-tailed test

The test statistic is ,

Critical value :

Decision : Here ,

Therefore , reject the null hypothesis

Conclusion : Hence , there is sufficient evidence to support the claim that the mean GPA of night student is smaller than 2.4.