Question

3

Suppose a university wishes to estimate the average weight of their undergraduate male students. A random sample of 200 undergraduate male students at this university are sampled. It is found that the sample mean weight is 83.3 kg, with a corresponding 95% confidence interval for mu of (81.3, 85.3). Of the following options, which one is the most appropriate interpretation of that interval? 95% of all male undergraduate students at this university weigh between 81.3 and 85.3 kilograms. In repeated sampling, 95% of the sample means will lie between 81.3 and 85.3 kilograms. We can be 95% confident that the sample mean weight of the 200 undergraduate male students in the sample lies between 81.3 and 85.3 kilograms. We can be 95% confident that the true mean weight of undergraduate male students at this university lies between 81.3 and 85.3 kilograms. 95% of all undergraduate students at this university weigh between 81.3 and 85.3 kilograms.

Answer 1

solution: confidence interval = (81.3, 85.3) o we can be 95t contident that true mean ist undergraduate male students at this university lie between 81.3 and 85.3 Hence, option (D) is correct.