Caffeine Content: A consumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.7 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty-six 12-ounce bottles of caffeinated soft drinks has a mean caffeine content of 36.4 milligrams. Assume the population standard deviation is 10.8 milligrams. At = 0.01, can you reject the research organization's claim? (Source: National Soft Drink Association)

Complete the following steps

a. identify the claim and state H0andHa.

b. find the standardized test statistic z or t OR find the corresponding P-value.

c. Identify the type of test. Compare the p-value with OR the standardized test statistic with the critical value of z or t