Question
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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