n 1998, the Nabisco Company launched a “1000 Chips Challengeâ€advertising campaign in which it was claimed that every 18-ouncebag of their Chips Ahoy cookies contains 1000 chips (on average). Acurious statistics student purchased 8 randomly selected bags ofcookies and counted the chocolate chips. The data is givenbelow:
1200 1019 1214 1087 1214 900 1200 825
a) The student concluded that the data was not normallydistributed and wanted to use a Wilcoxon Signed-Rank test to testthe company’s claim. What assumption is needed in this case?
b) Assuming the assumption in part a. is met, at the 1%significance level, do the data provide sufficient evidence toconclude that the average number of chocolate chips in a bag ofChips Ahoy cookies differs from 1000? Carry out the WilcoxonSigned-Rank Test by hand.