Question

# A market research firm used a sample of individuals to rate the purchase potential of a...

A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential (meaning people were more likely to buy the product after seeing the commercial). The null hypothesis stated that the mean rating “after” seeing the commercial would be less than or equal to the mean rating “before” seeing it. Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a= 0.05 and the following data to test the hypothesis and comment on the value of the commercial.

 Purchase Rating Individual After Before 1 6 5 2 6 4 3 7 7 4 4 3 5 3 5 6 9 8 7 7 5 8 6 6

a. What is d ̅ ? (5 pts. Put this answer in Blank 1).

b. The standard deviation of d = 1.30. What is the value of the test statistic? (5 pts. Put this answer in Blank 2).

c. What is the p value? (5 pts. Put this answer in Blank 3).

d. What is your conclusion about the hypotheses/the value of the tv commercial on purchase potential? (5 pts. Put this answer in Blank 4).

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