Question

A simple random sample generated 12 male and 18 female adults identified by their primary care physicians as being over-weight. These adults were fed a special high protein diet for a month and had a sample mean weight loss of 8 pounds with a sample standard deviation of 3.7 pounds. We would like to conduct a test to determine whether the average weight loss for all adults is less than 10 pounds at a 1% level of significance. What is the appropriate hypothesis for this test? Select one: a. Ho: ≠ 10 vs Ha: = 10 b. Ho: μ = 10 vs Ha: μ ≠ 10 c. Ho: μ = 10 vs Ha: μ < 10 d. Ho: μ < 10 vs Ha: μ = 10 e. Ho: μ ≠ 10 vs Ha: μ = 10

Answer 1

since we are testing if population mean is less than 10 ; option C is correct for hypothesis

c. Ho: μ = 10 vs Ha: μ < 10

(below are the detail of test if required):