The data below comes from a university that wanted to see if there was a relationship between High School GPA and College GPA.  For each hypothesis test, provide the claim, critical values, test statistic and conclusion. 1) Using a 95% level of confidence, test the claim High School GPA’s have a mean of 3.0. 2) Using a 95% level of confidence, test the claim College GPA’s have a mean of 3.0. 3) Using a 95% level of confidence, test the claim that the majority of students have at least a 3.0 GPA in High School. High School           College GPA GPA 3.88                            3.71 3.20                            2.98 2.88                            2.71 3.95                            3.74 4.1                              4.0 3.9                               3.81 3.4                               3.33 2.77                             2.64 3.55                            3.36 3.45                            3.35 3.05                            2.97 3.94                            3.8 3.65                            3.49 4.0                              3.95 3.78                            3.61 3.56                            3.22 3.95                            4.0 2.84                            2.68 2.79                            2.56 3.65                            3.44 3.84                            3.59 3.35                            2.97 3.12                            2.75 3.02                            2.6 3.33                            3.56

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Question

The data below comes from a university that wanted to see if there was a relationship between High School GPA and College GPA. 
For each hypothesis test, provide the claim, critical values, test statistic and conclusion.
1) Using a 95% level of confidence, test the claim High School GPA’s have a mean of 3.0.
2) Using a 95% level of confidence, test the claim College GPA’s have a mean of 3.0.
3) Using a 95% level of confidence, test the claim that the majority of students have at least a 3.0 GPA in High School.

High School           College GPA
GPA

3.88                            3.71
3.20                            2.98
2.88                            2.71
3.95                            3.74
4.1                              4.0
3.9                               3.81
3.4                               3.33
2.77                             2.64
3.55                            3.36
3.45                            3.35
3.05                            2.97
3.94                            3.8
3.65                            3.49
4.0                              3.95
3.78                            3.61
3.56                            3.22
3.95                            4.0
2.84                            2.68
2.79                            2.56
3.65                            3.44
3.84                            3.59
3.35                            2.97
3.12                            2.75
3.02                            2.6
3.33                            3.56

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax