For the test of significance questions, clearly indicate each of the formal steps in the test of significance.
Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.
Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.)
A coffee shop claims that its fresh-brewed drinks have a mean caffeine content of 80 milligrams per 5 ounces.Acityhealthagencybelievesthatthecoffeeshop’sfresh- breweddrinkshavehighercaffeine content. To test this claim the health agency takes a random sample of 100 five-ounce servings and found the average mean caffeine content of the sample was 87 milligrams with standard deviation of 25 milligrams. Doesthisprovideenoughevidenceatthe1%significanceleveltoclaimthatthecoffeeshop’s fresh- brewed drinks have higher caffeine content? (Adapted from Reader’s Digest Eating for Good Health.)
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