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

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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

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