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, find that a random sample of thirty 12 ounce bottles of cola has a mean caffeine content of 35.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.7 milligrams. At a=.03, can you reject the company's claim? Complete parts b through e.

B. Find the critical value.

1. The critical values are +- ___?

2. The critical value is ___?

C. Find the standardized test statistic.

D. Decide whether to reject or fail to reject the null hypothesis.

E. Interpret the decision in the context of the original claim.