Packaging of a children’s health food. Refer to the

QUESTION:

Packaging of a children's health food. Refer to the Journal of Consumer Behaviour (Vol. 10,2011) study of packaging of a children's health food product, Exercise 7.33 (p. 376). Recall that a fictitious brand of a healthy food product sliced apples -was packaged to appeal to children (a smiling cartoon apple was on the front of the package). The researchers compared the appeal of this fictitious brand to the appeal of a commercially available brand of sliced apples, which was not packaged for children. Each of 408 schoolchildren rated both brands on a 5-point "willingness to eat" scale, with 1 = "not willing at all" and 5 =  "very willing." The fictitious brand had a sample mean score of 3.69, while the commercially available brand had a sample mean score of 3.00. The researchers wanted to compare the population mean score for the fictitious brand, \(\mu_{\mathrm{F}}\), to the population, mean score for the commercially available brand, \(\mu_{\mathrm{C}}\). They theorized that \(\mu_{\mathrm{F}}\) would be greater than \(\mu_{\mathrm{C}}\).

a. Specify the null and alternative hypotheses for the test.

b. Explain how the researchers should analyze the data and why.

c. The researchers reported a test statistic value of 5.71. Interpret this result. Use \(\alpha=.05\) to make your conclusion.

d. Find the approximate p-value of the test.

e. Could the researchers have tested at \(\alpha=.01\) and arrived at the same conclusion?

Text Transcription:

mu_F

mu_C

alpha = .05

alpha = .01