Question

# Test the claim that the mean GPA of night students is smaller than 2.4 at the...

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

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.

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