Suppose that a group of researchers is planning to test a new weight loss supplement. They have selected a random sample of 35 people who are trying to lose weight and plan to measure the amount of weight lost after one month of using the supplement. Assume that the researchers know from prior experiments that the standard deviation of weight lost in one month, ?σ, is 1.6 lb. To show that the supplement is effective, they plan to use a one-sample ?z‑test of ?0:?=0 lbH0:μ=0 lb against ?1:?>0 lbH1:μ>0 lb, where ?μ is the mean amount of weight lost in one month. They have also determined that, for a test with a significance level of 0.05, the power of the test is 0.9054 if the mean amount of weight lost is actually 0.8 lb. What is the probability that the researchers will reject their null hypothesis if the mean amount of weight lost is 0.8 lb or more? Give your answer as a percentage, precise to two decimal places.
Suppose that a group of researchers is planning to test a new weight loss supplement. They have selected a random sample of 35 people who are trying to lose weight and plan to measure the amount of weight lost after one month of using the supplement. Assume that the researchers know from prior experiments that the standard deviation of weight lost in one month, ?σ, is 1.6 lb.
To show that the supplement is effective, they plan to use a one-sample ?z‑test of ?0:?=0 lbH0:μ=0 lb against ?1:?>0 lbH1:μ>0 lb, where ?μ is the mean amount of weight lost in one month. They have also determined that, for a test with a significance level of 0.05, the power of the test is 0.9054 if the mean amount of weight lost is actually 0.8 lb.
What is the probability that the researchers will reject their null hypothesis if the mean amount of weight lost is 0.8 lb or more? Give your answer as a percentage, precise to two decimal places.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
