[Solved] Assignment 219982

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Subject: Mathematics    / Statistics
QuestionSuppose 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?
A. 95% of all male undergraduate students at this university weigh between 81.3 and 85.3 kilograms.
B. 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.
C. 95% of all undergraduate students at this university weigh between 81.3 and 85.3 kilograms.
D. In repeated sampling, 95% of the sample means will lie between 81.3 and 85.3 kilograms.
E. 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.

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