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.Which of the following is an appropriate hypotheses to test the advertisement's claim? A) H_o:μ

Question

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.Which of the following is an appropriate hypotheses to test the advertisement's claim? A) H_o:μ < 10,H_A:μ ≥ 10 B) H_o:μ ≥ 10,H_A:μ < 10 C) H_o:μ ≤ 10,H_A:μ > 10 D) H_o:μ = 10,H_A:μ ≠ 10

Quizplus · Accepted Answer

The appropriate hypothesis to test the claim is to determine if the true mean weight loss of participants in the weight-reduction program is greater than 10 pounds as claimed by the advertisement. Therefore, the null hypothesis (H_o) should state that the true mean weight loss is less than or equal to 10 pounds, and the alternative hypothesis (H_A) should state that the true mean weight loss is greater than 10 pounds. Thus, the correct hypothesis testing notation is H_o:μ ≤ 10 versus H_A:μ > 10. Option C is the closest match to this notation, so it is the best choice.

An Advertisement for a Popular Weight-Loss Clinic Suggests That Participants