Question

Question 1 < > 0/3 pts 399 Details Test the claim that the mean GPA of night students is significantly different than 3.4 at the 0.2 significance level. The null and alternative hypothesis would be: Hou = 3.4 H:p > 0.85 H:P < 0.85 H.:u <3.4 H :p = 0.85 H: > 3.4 H1:47 3.4 H :P < 0.85 H :p > 0.85 H : > 3.4 H:P +0.85 H : <3.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, the sample mean GPA was 3.42 with a standard deviation of 0.05 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Answer 1

Null hy nothusis The mean GPA of night students is equal to 304 Alternative hypothesis - The mean GPA of night stuchentis is equal to 3.4. not Ho : Jussin } fint ophon) Hiiu #3.4 two-tailed (and option) The test is : no 25 X = 3.42 s = 0.05 2 Test statistic Cto)- x-u - 3.42 - 3-4 son 0-05/JS p-value = 0.06 2-sideel so, 0.028 x2 = 0.056 ~ 0.06 Source- STATKEY Cimage attacked) As pratur (0.06) < < (0.2) Reject the null hypothesis (first option)

Statkey Theoretical Distribution T Distribution- Reset Plot T Distribution Left Tail Two-Tail Right Tail 0.40 df 24 0.35 Edit Parameters 0.30 0.25 0.20 0.028 0.943 0.028 0.15 0.10 0.05 0.00 -4.0 -3.0 -1.0 0.0 1.0 3.0 4.0 -2.000 2.000 Activate Windows

The test is two-tailed. The test statistic is calculated using the formula mentioned. The p value is obtained from STATKEY (image attached for reference). We compare the p value with alpha and make the required decision.