Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.2 significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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Question
Test the claim that the mean GPA of night
students is significantly different than 2.7 at the
0.2 significance level.
The null and alternative hypothesis would be:
Но : р > 0.675 Но:р < 0.675 Но: д < 2.7
Н:р < 0.675Hi:р > 0.675 H:д > 2.7
Но : р > 2.7 Но:р %3D 0.675 Но:д %— 2.7
Hі:р < 2.7 Н,:р 2 0.675 Н:р + 2.7
The test is:
right-tailed left-tailed two-tailed
Based on a sample of 40 people, the sample
mean GPA was 2.75 with a standard deviation of
0.02
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
Transcribed Image Text:Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.2 significance level. The null and alternative hypothesis would be: Но : р > 0.675 Но:р < 0.675 Но: д < 2.7 Н:р < 0.675Hi:р > 0.675 H:д > 2.7 Но : р > 2.7 Но:р %3D 0.675 Но:д %— 2.7 Hі:р < 2.7 Н,:р 2 0.675 Н:р + 2.7 The test is: right-tailed left-tailed two-tailed Based on a sample of 40 people, the sample mean GPA was 2.75 with a standard deviation of 0.02 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
Expert Solution
Step 1

claim : we wants to test that mean GPA of night student is different than 2.7

given information:

sample mean=2.75

sample standard deviation ( s ) =0.02

sample size=40

level of significance = 0.2 

 

hence based on the claim null and alternative hypothesis is :

H0:μ =2.7H1:μ  2.7

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