You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 28 night students and 25 day students and their GPA's are recorded below. Test the claim using a 5% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.   GPA-Night GPA-Day 3.1 2.93 3.02 3.26 3.74 2.71 3.25 3.69 3.17 3.43 3.14 3.15 3.4 3.19 3.26 3.55 2.99 2.89 3.31 2.39 3.17 2.82 3.29 2.81 3.38 3.32 3.44 3.41 3.45 3.2 2.87 3.67 3.04 3.66 3.32 2.74 2.7 3.5 3.22 3.32 3.09 3.88 3.18 3.3 3.16 3.61 3.51 2.71 3.66 3.79 3.01   3.97   3.44     What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. H0:                             H1:                            Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to        . The correct summary would be:       that the mean GPA of night students is different from the mean GPA of day students.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
icon
Related questions
Question
100%

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 28 night students and 25 day students and their GPA's are recorded below. Test the claim using a 5% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.

 

GPA-Night GPA-Day
3.1 2.93
3.02 3.26
3.74 2.71
3.25 3.69
3.17 3.43
3.14 3.15
3.4 3.19
3.26 3.55
2.99 2.89
3.31 2.39
3.17 2.82
3.29 2.81
3.38 3.32
3.44 3.41
3.45 3.2
2.87 3.67
3.04 3.66
3.32 2.74
2.7 3.5
3.22 3.32
3.09 3.88
3.18 3.3
3.16 3.61
3.51 2.71
3.66 3.79
3.01  
3.97  
3.44  

 

What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.

H0:                            

H1:                           

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to        .

The correct summary would be:       that the mean GPA of night students is different from the mean GPA of day students.

Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill