Test the claim that the mean GPA of night students is significantly different than 2.3 at...

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Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.2 significance level. The nul

Answer 1

Answer #1

We want to test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.2 significance level.

Therefore, the null and alternative hypotheses are,

H0 : μ = 2.3

H1 : μ ≠ 2.3

The test is two-tailed

Givem that, sample size = 65, sample mean = 2.28 and

standard deviation = 0.04

Test statistic is,

Z = 2.28 – 2.3 -= 0.04 -4.03 65

The test statistic is : -4.03

critical values at 0.2 significance level are, Z^* = ± 1.28

Therefore, the positive critical value is : 1.28

Since, test statistic = -4.03 < -1.28, we reject H0.

Therefore, based on this we : Reject the null hypothesis.

> How did you calculate the critical value at 0.2 significance level? That part was skipped, made the solution difficult to follow.

Samuel M. Fri, Apr 23, 2021 6:07 AM

Answer 2

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