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A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds. A random sample of 120 people in the United States has a mean annual high fructose corn syrup consumption of 49.5 pounds. Assume the population standard deviation is 3.6 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. |
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