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Question 11 3 pts Small Sample Difference of Means Test. Each year Forbes puts o

ID: 2908225 • Letter: Q

Question

Question 11 3 pts Small Sample Difference of Means Test. Each year Forbes puts out data on the top college and universities in the U.S. The following is a sample from the top 300 institutions in 2015. The test we will look at is the difference in the average 6-year graduation rates of private and public schools. The data are given below. We can assume equal variances. Note: I used the variances for all my calculations. 6-year graduation rates by Public and Private status of Top Universities Private Public Private Public 78.053 76.000 64.000 95.000 96.830 9.840 12.607 19 STEM Leaf STEM Leaf Mean Median Min Max Variance Std Deviatio CV Count 77.588 79.000 67.000 93.000 67.132 8.193 10.560 17 5 64888 9 700 2568 8 2 4 45 91135 5 6 7889 7 0 23 4 8 012 345 10 10 Avalue of 4 19 is an rate of 49% Avalue of 32is an rate of 32% If a priori we thought private schools should have a higher 6-year average graduation rate than public schools, the alternative hypothesis for this problem would be Ha: mu(private) mu(public) NE O Ha: mu(private) - mu(public) 0 Ha: mu(private)-mu(public) = 0

Explanation / Answer

private school have a higher 6-year average graduation rate than public school
hence
option C) mu(private) - mu (public) > 0

is correct

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