A consumer group claims that the mean annual consumption of peanuts by a person in the United States is greater than 6.5 pounds. A random sample of 60 people in the United States has a mean annual peanut consumption of 6.8 pounds. Assume the population standard deviation is 2.1 pounds. At α = 0.01, can you support the claim?
(a) Identify the claim and state H0 and Ha,
(b) Find the standardized test statistic z,
(c) Find the P-value,
(d) Decide whether to reject or fail to reject the null hypothesis,
(e) Interpret the decision in the context of the original claim.