Apply your knowledge about sampling distributions in this Digital Case, which reconsiders the Oxford Cereals Using Statistics scenario.
The advocacy group Consumers Concerned About Cereal Cheaters (CCACC) suspects that cereal companies, including Oxford Cereals, are cheating consumers by packaging cereals at less than labeled weights. Recently, the group investigated the package weights of two popular Oxford brand cereals. Open CCACC.pdf to examine the group’s claims and supporting data, and then answer the following questions:
Assume that the two samples of five cereal boxes (one sample for each of two cereal varieties) listed on the CCACC website were collected randomly by organization members. For each sample,
a. calculate the sample mean.
b. assuming that the standard deviation of the process is 15 grams and the population mean is 368 grams, calculate the percentage of all samples for each process that have a sample mean less than the value you calculated in (a).
c. assuming that the standard deviation is 15 grams, calculate the percentage of individual boxes of cereal that have a weight less than the value you calculated in (a).
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