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?

Question

Larry Frank

Mathematics

6 August, 10:19

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?

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Willie Bryan · Answer 1

Step-by-step explanation:

The consumer activist wants to prove that participants of the new diet program, on average, lose more than 10 pounds. Then the null hypothesis would be

H0: μ = 10

The null hypothesis indicates that a population parameter (in this case, mu represents the population mean) is equal to a hypothetical value. And the alternative hypothesis is what she expects to prove:

H1: μ> 10