Apply your knowledge about sampling distributions in this Web 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 less than labeled weights. Visit the organization’s home page at www.prenhall.com/Springville/ConsumersConcerned.htm (or open the Consumers Concerned.htm file in the text CD’s WebCase folder), examine their claims and supporting data, and then answer the following:

1. Are the data collection procedures that CCACC uses to form its conclusions flawed? What procedures could the group follow to make their analysis more rigorous?
2. Assume that the two samples of five cereal boxes (one sample for each of two cereal varieties) listed on the CCACC Web site were collected randomly by organization members. For each sample, do the following:

1. Calculate the sample mean.
2. Assume that the standard deviation of the process is 15 grams and a population mean of 368 grams. Calculate the percentage for each process that would have a sample mean less than the value you calculated.
3. Again assuming that the standard deviation is 15 grams, calculate the percentage of individual boxes of cereal that would have a weight less than the value you calculated in (a).

1. What, if any, conclusions can you form by using your calculations about the filling processes of the two different cereals?
2. A representative from Oxford Cereals has asked that the CCACC take down its page discussing shortages in Oxford Cereals boxes. Is that request reasonable? Why or Why not?
3. Can the techniques discussed in this chapter be used to prove cheating in the manner alleged by the CCACC? Why or Why not?

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