Assignment: You will be answering problems #1 - #4. For each problem, you will need to complete parts A through F below. Please make sure you answer each part completely and you offer justification where necessary.

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.

#1) A maker of microwaves ovens advertises that less than 10% of its microwaves need repair during the first 5 years of use. In a random sample of 57 microwaves that are 5 years old, 13% needed repairs. At alpha equals 0.05, can you support the maker's claim? Please make sure you answer parts A - F.

#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?

#3) A restaurant claims that the standard deviation of the lengths of serving times is 3 minutes. A random sample of 27 serving times has a standard deviation of 3.9 minutes. At alpha equal 0.05, is there enough evidence to reject the restaurant's claim?

#4) A fitness magazine claims that the mean cost of a yoga session is no more than $14. You work for a consumer advocacy group and are asked to test this claim. you find that a random sample of 21 yoga sessions has a mean cost of $15.59 and a standard deviation of $2.50. At alpha equals 0.025, do you have enough evidence to reject the magazine's claim?