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GPA SALARY 3.26 33.80 2.60 29.80 3.35 33.50 2.86 30.40 3.82 36.40 2.21 27.60 3.47 35.30 1. Analyze the distribution of the two variables: GPA,

GPA

SALARY

3.26

33.80

2.60

29.80

3.35

33.50

2.86

30.40

3.82

36.40

2.21

27.60

3.47

35.30

1. Analyze the distribution of the two variables: GPA, Salary

(sample mean, variance, shape of the distribution )

2. Determine 95% confidence intervals for the population mean of the above variables.

3. For a 5% significance level test the following hypothesis

H0 : mean Salary = 28 against two sided alternative, and both one sided alternatives

H0 : GPA = 2.5 against the two sided alternative, and both one sided alternatives

calculate the corresponding p-values

calculate the power of the above tests for the following alternatives: mean salary= 25, 30, 35 and mean GPA = 3, 3.5, 4

4 Discuss the results

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