A research physician wants to determine the average age of people with diabetes. She takes a random sample of 35 diabetics with a mean age of 50.5 years. Suppose Standard Deviation = 21.2. A pharmaceutical company claims that the average age of people with diabetes is 60. At the 1% significance level, does the data provide sufficient evidence to conclude that the average age of people with diabetes is different than 60.(Show all steps)
a. Does the data provide sufficient evidence to support the marine Biologist's claim? Use a = .05. (Show all steps)