A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey. Shorts Dress Jeans Skirt 2.7 3.6 2.5 2 2.5 2.9 2.1 2.4 4 3.9 2.1 3.5 1.9 3.8 2.7 2.7 3.2 3.5 3.4 3.1 3.7 3.1 3.4 2.2 3.4 2.9 2.5 2.9 3.9 2.7 2.9 2.4 1.9 3.5 2.7 1.8 Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05α=0.05. H0: μ1=μ2=μ3=μ4H0: μ1=μ2=μ3=μ4 H1:H1: At least two of the means differ from each other. For this study, we should use              The test-statistic for this data =  (Please show your answer to 3 decimal places.) The p-value for this sample =  (Please show your answer to 4 decimal places.) The p-value is     αα  Base on this, we should      hypothesis As such, the final conclusion is that... There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.

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