Question
The U.S. Food and Drug Administration recommends that individuals consume 1000 mg of calcium daily. After an advertising campaign aimed at male teenagers, the International
The U.S. Food and Drug Administration recommends that individuals consume 1000 mg of calcium daily. After an advertising campaign aimed at male teenagers, the International Dairy Foods Association (IDFA) claims that male teenagers consume more than the recommended daily amount of calcium. To support this claim, the IDFA obtained a random sample of 50 male teenagers and found that the mean amount of calcium consumed was 1081 mg, with a standard deviation of 426 mg.
A) Clearly state appropriate hypotheses. Be sure to define any parameters that you use.
B) Is there significant evidence to support the claim of the IDFA at the = 0.05 level of significance? Explain.
C) What is the p-value of your test statistic? Sketch a picture. Explain your answer (what does this p-value mean?).
D) Construct a 95% confidence interval for the consumption of calcium. Does this confidence interval provide evidence consistent with the result of the hypothesis test? Why or why not?
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