Do only 7.33. Hypothesis test using z

The risk to reject the XLSTAT output for Exercise 732 sustainability (measured on a quantitative scale ranging a. Conduct a test to determine whether the true mean from 0 to 160 points) was obtained for each in a sample of willingness to eat the brand of sliced apples packaged 992 senior managers at CPA firms. The data (where higher for children exceeded 3. Use a = .05 to make your point values indicate a higher level of support for sustain- conclusion. ability) are saved in the accompanying file. The CEO of a b. The data ( willingness to cat values) are not normally CPA firm claims that the true mean level of support for distributed. How does this impact (if at all) the validity sustainability is 75 points of your conclusion in part a? Explain. a. Specify the null and alternative hypotheses for testing this claim. 7.34 Stability of compounds in new drugs. Refer to the ACS b. For this problem, what is a Type I error? A Type II Medicinal Chemistry Letters (Vol. 1, 2010) study of the error? metabolic stability of drugs, Exercise 2.22 (p. 83). Recall c. The XLSTAT printout shown above gives the results NW that two important values computed from the testing of the test. Locate the test statistic and p-value on the phase are the fraction of compound unbound to plasma printout (fup) and the fraction of compound unbound to micro- d. At a = 05, give the appropriate conclusion. somes (fumic). A key formula for assessing stability as- sumes that the fup/fumic ratio is 1:1. Pharmacologists at e. What assumptions, if any, about the distribution of sup- Pfizer Global Research and Development tested 416 drugs port levels must hold true in order for the inference and reported the fup/fumic ratio for each. These data are derived from the test to be valid? Explain. saved in the FUP file, and summary statistics are provided 7.33 Packaging of a children's health food. Can packaging in the accompanying Minitab printout Suppose the phar- of a healthy food product influence children's desire to macologists want to determine if the true mean ratio, u, consume the product? This was the question of inter- differs from 1. est in an article published in the Journal of Consumer a. Specify the null and alternative hypotheses for this test. Behaviour (Vol. 10, 2011). A fictitious brand of a healthy b. Descriptive statistics for the sample ratios are provided food product-sliced apples-was packaged to appeal to in the Minitab printout on page 410. Note that the children (a smiling cartoon apple was on the front of the sample mean, * = 327 is less than 1. Consequently, package). The researchers showed the packaging to a a pharmacologist wants to reject the null hypothesis. sample of 408 school children and asked cach whether he "What are the problems with using such a decision rule? or she was willing to eat the product. Willingness to cat c. Locate values of the test statistic and corresponding was measured on a 5-point scale, with 1 = "not willing p-value on the printout. at all" and 5 = "very willing." The data are summarized as d. Select a value of a, the probability of a Type I error. follows: 1 = 3.69, s = 2.44. Suppose the researchers knew Interpret this value in the words of the problem. that the mean willingness to eat an actual brand of sliced e. Give the appropriate conclusion, based on the results of apples (which is not packaged for children) is = parts c and d