Question

# Please show all work: Assignment: You will be answering problems #1 - #4. For each problem,...

Assignment: You will be answering problems #1 - #4. For each problem, you will need to complete parts A through F. Please make sure you answer each part completely and you offer justification where necessary. Do all work "by hand" (not using StatCrunch) as good practice for your next exam!

A) Write the claim mathematically and state the null and alternative hypotheses.

B) Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.

C) Find the critical value(s), draw a sketch identifying the rejection region(s).

D) Find the appropriate standardized test statistic.

E) Decide whether to reject or fail to reject the null hypothesis.

F) Interpret the decision in the context of the original claim.

#2) A consumer group claims that the mean annual consumption of coffee by a person in the U.S. is 23.2 gallons. A random sample of 90 people in the U.S. has a mean annual coffee consumption of 21.6 gallons. Assume the population standard deviation is 4.8 gallons. At alpha equals 0.05, can you reject the claim?

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