Question

In: Statistics and Probability

A nutrition laboratory tests 40 “reduced sodium” hot dogs, finding that the mean sodium content is...

  1. A nutrition laboratory tests 40 “reduced sodium” hot dogs, finding that the mean sodium content is 310 mg with a standard deviation of 36 mg. Find a 95% confidence interval for the mean sodium content of this brand of hot dog. Be sure to check all necessary assumptions and conditions, and interpret your interval within the context of the problem.
  2. Conduct a hypothesis test at the .025 level as to whether the mean sodium content level is 300mg. Provide H0,Ha, test statistic, and approximate P-value. Interpret your decision about the hypotheses in the context of the claim.
  3. Repeat 1. & 2. using your (or your neighbor’s) TI-graphing calculator or JMP. Record the functions that were used, the hypotheses, test statistic, p-value, and confidence interval. Compare the two confidence intervals. Confirm that the decision about H0 was appropriate.     

Solutions

Expert Solution

When comparing both confidence intervals the confidence interval which contain mean sodium content is 300mg is wider than the confidence interval of the mean sodium content as 310mg .


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