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A coffee shop claims that its fresh-brewed drinks have a mean caffeine content of 80 milligrams...

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Question

Basic Math

A coffee shop claims that its fresh-brewed drinks have a meancaffeine content of 80 milligrams per 5 ounces. A city healthagency believes that the coffee shop’s fresh- brewed drinks havehigher caffeine content. To test this claim the health agency takesa random sample of 100 five-ounce servings and found the averagemean caffeine content of the sample was 87 milligrams with standarddeviation of 25 milligrams. Does this provide enough evidence atthe 1% significance level to claim that the coffee shop’s fresh-brewed drinks have higher caffeine content?

For the test of significance questions, clearly indicate each ofthe 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 theproblem.)

Answer & Explanation Solved by verified expert
3.6 Ratings (630 Votes)
1 H0 80 H1 802 The test statistic t s 87 8025 283 Pvalue PT 28    See Answer
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