Question

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? We can be 95% confident that the sample mean weight of the 200 undergraduate male students in the sample lles between 81.3 and 85.3 kilograms. 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 le between 81.3 and 85.3 kilograms. We can be 95% confident that the true mean weight of undergraduate male students at this university lles between 81.3 and 85.3 kilograms. 95% of all undergraduate students at this university welgh between 81.3 and 85.3 kilograms.

Answer 1

1. Given Data:- 2:83.3 D=200 95% CI - (81.3 ; 85.3) we can be 95% confident that the toue mean weight of undergraduate male students at this university lies between 81.3 and 853 kilograms: r=1E1 = 70 2. Given that:- 4) n = 89 meam ll=512 Standard deviation Confidence level =954. X: 0-05 72)2 = 20.0*6 = 10.025 = 1.96 argin of Erior E= 1.96 0 7 = 1.96* 7 = 14.73 E = 14.543 6) 90% CI 1- 2 = 10% =0.1 Zabe 20.05 -1.645 Margin of Esrom E = 1.646 * o - 12.206 TE - 12.206