1. Use the statement below to answer the following questions.

A local coffee shop, Caf Nervosa, is claiming that the coffee served there contains more than three times the amount of caffeine found in a normal cup of coffee. After some research you find that the average cup of coffee contains 95 mg of caffeine. Over the course of several months you collect 37 cups of coffee to test, and find an average of 304.509 mg, with a standard deviation of 45.496 mg. Use a hypothesis test to evaluate Caf Nervosa's claim about the strength of their coffee at the 1% significance level.

State the hypotheses (here are some needed symbols: )

H₀:

H₁:

The critical value is

The test statistic is

2.Using the information from the previous problem, state the conclusion for the hypothesis test.