In: Statistics and Probability
3.28. Adam is studying the relationship between hours of sleep and students GPA's. He passes a survey amongst his 17 students and the data he gathered is as follows
| GPA avg | Hours of sleep per night |
| 3.87 | 5 |
| 2.50 | 8 |
| 2.98 | 10 |
| 3.37 | 6 |
| 3.1 | 5 |
| 3.1 | 4 |
| 3.9 | 7 |
| 3.5 | 8 |
| 2.1 | 5 |
| 3.97 | 6 |
| 3.6 | 10 |
| 3.45 | 6 |
| 2.1 | 5 |
| 0.0 | 9 |
| 3.2 | 11 |
| 3.18 | 6 |
| 3.87 | 4 |
A.) Find the frequency distribution(S)
B.) Descriptive statistics (mean, medium, mode, range and standard deviation)
C.) Choose between t-Test and Z-Test
A) for GPA data we get

and for sleep hours

B)for gpa
and for hours

C)
here use t test for getting relationship because s.d. of population is unknown
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