A swimming pool company sells 50-pound buckets of chlorine tablets. A customer believes the company may be underfilling the buckets and hires an inspector to investigate the claim. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The inspector would like to know if there is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H Subscript 0 Baseline: mu = 50 versus H Subscript alpha Baseline: mu< 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The power to reject the null hypothesis when μ = 49.5 is 0.864. What is the interpretation of the value 0.864? The probability of falsely rejecting that the true mean weight is 50 pounds when the true mean weight is 49.5 pounds is 0.864.
The probability of correctly rejecting that the true mean weight is 50 pounds when the true mean weight is 49.5 pounds is 0.864.
The probability of falsely rejecting that the true mean weight is 50 pounds when the true mean weight is less than 49.5 pounds is 0.864.
The probability of correctly rejecting that the true mean weight is 50 pounds when the true mean weight is less than 49.5 pounds is 0.864.