Question

A company that makes cola drinks states that the mean caffeine content per 12 -ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12 -ounce bottles of cola has a mean caffeine content of 36.8 miligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At α=0.06, can you reject the company's claim? Complete parts (a) through (e)).

(a) Identify H0 and Ha. Choose the correct answer below.

Answer 1

a)Identify Ho, and Ha Ans: B

Ho: = 35 (claim)
Ha: Not equal to  35

b) The critical values are +/- 1.82(approx) from the graph

c) Standard test stastic z(36.8) =(36.8-35)/[6.5/sqrt(30)] = 1.496

d) Since z is not in the rejection region fail ie 14 percent to reject the null :Answer is C.

e)  Interpret the decision in the context of the original claim

At the 6% significance level there is not enough evidence to Reject the company's claim that the mean caffeine content per 12-ounce bottle of cola is equal to 36.8 milligrams.