A consumer group claims that the mean annual consumption of cheddar cheese by a person in the United States is at most 10.3 pounds. A random sample of 100 people in the United States has a mean annual cheddar cheese consumption of 9.9 pounds. Assume the population standard deviation is 2.1 pounds. At α = 0.05, can you reject the claim?
(a) Identify the claim and state H0 and Ha.
(b) Find the standardized test statistic z. If convenient, use technology.
(c) Find the P-value. If convenient, use technology.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.