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(1) A major university would like to improve its tarnished image following a large on-campus scandal. Its marketing department develops a short television commercial and

(1) A major university would like to improve its tarnished image following a large on-campus scandal. Its marketing department develops a short television commercial and tests it on a sample of n = 7 subjects. People's attitudes about the university are measured with a short questionnaire, both before and after viewing the commercial. The data are as follows:

 Person X1 (before) X2 (after)  A  15 15 B  11 13  C  10 18  D  11 12  E  14 16  F  10 10  G  11 19  

Conduct a hypothesis test (showing all steps) to determine if the university should spend money to air the commercial (i.e., did the commercialimprovethe attitudes?)Here's some extra information to help you through the process:and sD= 3.51(this is the standard deviation of the differences; you'll need to insert this into the formula for the standard error).

Some formulas that you'll need:

standard error

d =

(a)What t value did you get? _______________

(b)Do you need a one-tailed or two-tailed test? ____________

(c)What was the p value you found usingthis online calculator? _____________

(d)What is the Cohen's d? (Since the d formula is somewhat complicated, I'll you the the denominator in the formula.It's 1.44.)____________________

(e)Given the effect size and p value you found, what would you tell the university in this example?

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