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 are appropriate hypotheses to test the advertisement's claim? A) H₀: 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 are appropriate hypotheses to test the advertisement's claim? A) H₀: μ < 10, H_A: μ ≥ 10 B) H₀: μ ≥ 10, H_A: μ < 10 C) H₀: μ ≤ 10, H_A: μ > 10 D) H₀: μ = 10, H_A: μ ≠ 10

Quizplus · Accepted Answer

The advertisement claims an average weight loss of more than 10 pounds, so the null hypothesis (H0) should state that the mean weight loss is 10 pounds or less (μ ≤ 10), and the alternative hypothesis (H1) should state that the mean weight loss is greater than 10 pounds (μ > 10). This is correctly represented in option C.

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