(Round all intermediate calculations to at least 4 decimal places.)

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 15 women who recently joined the weight reduction program. She calculates the mean weight loss of these participants as 10.2 pounds with a standard deviation of 2.5 pounds. Use Table 2.

a.Set up the competing hypotheses to test the advertisement's claim.

a.) H₀: = 10; H_A: 10

b.) H₀: 10; H_A: < 10

c.) H₀: 10; H_A: > 10

b.At the 10% significance level, specify the critical value. (Round your answer to 3 decimal places.)

Critical value___________

c.Compute the value of the test statistic. (Round your answer to 2 decimal places.)Test statistic_______

d.What does the consumer activist conclude?(Reject or Not Reject?). The claim by the weight loss clinic (Is or IsNot?) supported by the sample data.