Find the sample size needed to assure with y5% con lidence that the sample mean

Question

Find the sample size needed to assure with y5% con lidence that the sample mean will not direr irom the population mean by more than 2 units. (12) Mary wishes to estimate the mean height of women aged 18-24. She picks a sample of 100 women aged between 1 8 and 24 and constructs a 99% confidence interval for the population mean. Ifshe were to repeat this procedure 200 times in total, she would obtain 200 different confidence intervals. to iamval woean a7 (b) Explain your reason. (13) A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 207 milligrams with s 18.1 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs. Assume that the population is normally distributed. Find the confidence interval specified lrir rdia Thenmner fan

Explanation / Answer

12. : Approximately 198 of the intervals will contain the population mean. The chance that any given confidence interval contains the true mean is 99%, so out of 200 such confidence intervals approximately 99% of 200, or 198, intervals will contain

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