Statistics Solutions

(See Steps) MMs Data Set 13 in Appendix B includes a sample of 27 blue MMs with a mean weight of 0.8560 ~g. Assume that σ. is known to be 0.0565 ~g.

Question: M&Ms Data Set 13 in Appendix B includes a sample of 27 blue M&Ms with a mean weight of \(0.8560 \mathrm{~g}\). Assume that \(\sigma.\) is known to be \(0.0565 \mathrm{~g}\). Consider a hypothesis test that uses a 0.05 significance level to test the claim that the mean weight of all M&Ms is equal to \(0.8535 \mathrm{~g}\) (the weight necessary so that bags of M&Ms have the weight printed on the package).

  1. What is the test statistic?
  2. What are the critical values?
  3. What is the \(P\) -value?
  4. What is the conclusion about the null hypothesis (reject, fail to reject)?
  5. What is the final conclusion in simple nontechnical terms?

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