A mathematics professor is interested in increasing the mathematical ability of

Question

A mathematics professor is interested in increasing the mathematical ability of college students in remedial math classes. The professor obtains a random sample of ten students enrolled in remedial math this semester and begins the semester teaching these ten students using the new “Skills Building Program” (SBP) that the professor devised. The final etest these ten students are given is the same final test the professor has used for the past 15 semesters, where the mean score is 12 and the standard deviation is 4 across these previous 15 semesters ( = 12 and = 4). High scores on this final indicate better mathematical performance. Test the professor’s hypothesis that the new SBP method improves scores on the final test (and hence increases mathematical ability).

Final test scores of students with new SBP method: 12, 10, 14, 13, 17, 12, 13, 17, 13, 15

F. 3.250

G. Not listed

Explanation / Answer

H0 : = 12

H1 : > 12

So, this is a one tailed z test

Z* = Z0.01 = 2.33

Option-B) 2.33

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