A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 75 pounds. You believe it is higher. You take a simple random sample of 40 people in the U.S. and find an average of 76.2 pounds with a standard deviation of 8.5 pounds. Test at 0.05% significance.
Which of the following would be the most appropriate conclusion based on this scenario?
a) There is sufficient evidence to reject the consumer group's claim and conclude that the average annual consumption of high fructose corn syrup by a person in the U.S. is higher than 75 pounds.
b) There is insufficient evidence to reject the consumer group's claim and conclude that the average annual consumption of high fructose corn syrup by a person in the U.S. is higher than 75 pounds.
c) The sample data is inconclusive to make any judgment regarding the consumer group's claim about the average annual consumption of high fructose corn syrup by a person in the U.S.
d) The consumer group's claim is accurate, and the average annual consumption of high fructose corn syrup by a person in the U.S. is 75 pounds.