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A graduate student teaching in Spring 2020 taught two Intro to Stats labs (one at 8:10am on Friday and the other at 5:10pm on Wednesday).

A graduate student teaching in Spring 2020 taught two Intro to Stats labs (one at 8:10am on Friday and the other at 5:10pm on Wednesday). The TA taught the lab in exactly the same way. The only difference was the time. They would like to know if there is a statistically significant difference between the two classes exam 1 performance. Class 1 has a class size n1 = 17 with a sample mean exam one score of begin mathsize 12px style x with bar on top subscript 1 space equals space 75.53 end style and a standard deviation of s1 = 13.00. Class 2 has a class size n2 = 27 with a sample mean exam one score of begin mathsize 12px style x with bar on top subscript 2 space equals space 80.81 end style and a standard deviation of s2 = 11.00. The null hypothesis is H0: begin mathsize 12px style mu subscript 1 space equals space mu subscript 2 end style. The alternative (research) hypothesis is H1: begin mathsize 12px style mu subscript 1 space not equal to space mu subscript 2 end style. Find the positive critical value for test the pooled t-test at a level

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