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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. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a - 0.05 and the following data test the hypothesis and comment on the value of the commercial. Purchase Rating Individual After Before 1 2 6 4 3 4 3 6 5 6 State the null and alternative hypotheses. (Use - mean rating after - mean rating before.) H: H-0 O Ho: H0 Hoi Hgso O Hoi Ha Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.183 Calculate the p-value. (Round your answer to four decimal places.) D-value - 0.1377 State your conclusion. • Do not reject Hg. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Ho. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Do not Reject Hg. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. Reject H.. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.

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. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a - 0.05 and the following data test the hypothesis and comment on the value of the commercial. Purchase Rating Individual After Before 1 2 6 4 3 4 3 6 5 6 State the null and alternative hypotheses. (Use - mean rating after - mean rating before.) H: H-0 O Ho: H0 Hoi Hgso O Hoi Ha Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.183 Calculate the p-value. (Round your answer to four decimal places.) D-value - 0.1377 State your conclusion. • Do not reject Hg. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Ho. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Do not Reject Hg. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. Reject H.. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." 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 6 4 3 7 4 4 3 3 8 8 6 State the null and alternative hypotheses. (Use u, = mean rating after - mean rating before.) O Ho: Hs0 H3: H = 0 O Ho: Hd#0 Hai Hq= 0 O Ho: Hg=0 O Ho: Hd> 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.183 Calculate the p-value. (Round your answer to four decimal places.) p-value = 0.1377 State your conclusion. Do not reject H.. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Ho. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Do not Reject Ho. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject H.. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
Transcribed Image Text: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. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." 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 6 4 3 7 4 4 3 3 8 8 6 State the null and alternative hypotheses. (Use u, = mean rating after - mean rating before.) O Ho: Hs0 H3: H = 0 O Ho: Hd#0 Hai Hq= 0 O Ho: Hg=0 O Ho: Hd> 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.183 Calculate the p-value. (Round your answer to four decimal places.) p-value = 0.1377 State your conclusion. Do not reject H.. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Ho. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Do not Reject Ho. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject H.. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
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