A sample of 25 people is selected, and the length of time to prepare and cook dinner (in minutes) is recorded, with the results shown in the accompanying table.
44.1 34.5 28.9 52.1 35 .9 19.7 37.9 42.9 58.2 51.3 37.4 41.4 22.6
39.2 45.6 54.4 30.8 35.1 31.3 54.6 59.6 50.5 45.4 54.3 44.8
a. Is there evidence that the population mean time to prepare and cook dinner is different from 45 minutes? Use the p-value approach and a level of significance of 0.05.
b. What assumption about the population distribution is needed in order to conduct the t test in (a)?
c. Make a list of the various ways you could evaluate the assumption noted in (b).
d. Evaluate the assumption noted in (b) and determine whether the t test in (a) is valid.
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