An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than 10 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 18 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 10.8 pounds with a standard deviation of 2.4 pounds. It may be assumed that the weight loss of participants to the weight-reduction program is normally distributed.

a. When testing whether the advertisement claim is accurate, what is the appropriate hypothesis?

b. What is the test statistic? Round answer to three decimal places.

c. What is the p value? Round answer to four decimal places.

d. At a 5% significance level, what is the conclusion?

e. Let us suppose you later learn the conclusion is incorrect. What is the error type you committed and what is the error's consequences?