# Statistics: Test Student GPA va hours of sleep at night

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Assignment:

1. Chapter 12: 12.3
PLUS, compare to the results obtained by doing each X separately. Discuss.

2. The following data represent the number of hours of sleep that engineering students got
per night and GPA. Is there a relationship between the two? You may use Excel for
this. Comment on the underlying assumptions.

Gender Sleep/night GPA
Male 6 3.667
Female 6.5 3.85
Male 6 3.4
Male 6.5 3
Female 8 2
Male 7.5 1.9
Female 7 2.3
Male 7 3.2
Male 6 2.95
Male 4 2.8
Male 7 3
Male 8 2.461
Female 4 3.45
Male 6 3.86
Female 6 3.4
Male 7 3
Female 7 3.61
Male 5 3.21
Male 6 3.5
Male 4.5 3.21
Male 5 3.527
Male 7 2.5
Male 7 3.5
Male 6.5 3.884
Female 5 3.26
Male 6 3.54
Male 6 3
Male 7.5 3.586
Male 7.5 3.69
Male 5 3.6
Male 7 1.78
Male 5 2.985
Male 7 2.8
Male 6 4
Female 6.5 2.4
Male 6 4
Male 8 4
Male 8 3.67
Female 7 3
Female 5 3.5
Male 4.5 3.56
Male 6 3.6
Male 6 3.08
Male 7 3.6
Male 6 3.65
Male 5 4
Male 6 3.26
Female 7 3.94
Male 7 3.3
Male 5.5 3.7
Male 5 3.2
Male 8 3.5
Male 7 3.01
Male 7 3.86
Female 7 3.73
Male 6 3.93
Male 6 4
Male 7 3.111
Male 7 3.7
Female 8 3.87
Male 4 3.764
Male 4.5 3.5
Male 5 2.8
Male 5 3.9
Female 5 2.66
Female 5 3
Female 5 4
Male 5 2.8
Male 5 3.4
Female 5 4
Male 5 3.77
Male 6 3.1
Female 6 3.4
Male 6 3.8
Male 6 4
Male 6 3
Male 6 3.64
Female 6 4
Male 6 3.9
Male 6 3.7
Male 6 3.6
Female 6 2.5
Male 6 2
Male 6 3.9
Male 6 4
Female 6 3.6
Male 6 2.7
Female 6 2.882
Male 6.5 3.47
Male 7 3.95
Male 7 3.32
Female 7 3.4
Female 7 3.85
Male 7 3.2
Male 7 2.4
Male 7 3
Male 7 3.48
Male 7 2.9
Male 7 3.3
Female 7 4
Male 7 3.45
Female 7 3.3
Male 7 3.41
Male 7 3.6
Female 7 2.64
Female 7 3.8
Female 7 3.53
Male 7 3.8
Male 7 3.75
Female 7.5 3.7
Female 8 4
Male 8 2.87
Female 8 3.55
Male 8 3.24
Female 8 3.939
Male 8 3.47
Male 8 3.8
Male 8 4
Male 8 3.27
Male 8 3.7

3. Using the same data as in the previous problem, is there a difference in the number of
hours of sleep gotten by men and women? Don’t forget data plots.

4. Using the same data, is there a difference in the GPAs of male and female students,
based on these data? Don’t forget data plots.

5. The number of defects on printed circuit boards is counted, giving these data. Do they

# Defects Frequency
0 32
1 15
2 9
3 4. Solution Preview
THE HIGH P VALUES AND LOW R SQUARED VALUES SHOW THERE IS NOT A RELATIONSHIP BETWEEN SLEEP AND GPA.

The regression equation is
C2 = 6.68 – 0.076 C3

Predictor Coef SE Coef T P
Constant 6.6820 0.6438 10.38 0.000
C3 -0.0765 0.1885 -0.41 0.686

S = 1.04483 R-Sq = 0.1% R-Sq(adj) = 0.0%

Analysis of Variance

Source DF SS MS F P
Regression 1 0.180 0.180 0.16 0.686
Residual Error 116 126.634 1.092
Total 117 126.814

Unusual Observations

Obs …

Solution Summary
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