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A statistics teacher wants to see if there is any difference in the ability of students...

A statistics teacher wants to see if there is any difference in the ability of students enrolled in statistics today and those that enrolled five years ago. A sample of final examination scores from students enrolled today and students enrolled five years ago was taken. You are given the following information.

Today Five Years Ago
Mean Score 82 88
Sample Standard Deviation 112.5 54
Sample Size 45 `36

(a) Formulate the null and alternative hypotheses to test whether there is a difference between the means of the two populations.

(b) Compute the test statistic

(c) Using the critical approach, what is your conclusion? Let alpha (significance level) = .05

(d) Using the p-value approach, what is your conclusion? Let alpha (significance level) = .05

Math   Statistics-And-Probability   
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