Question

2) Rather than one patient, you are now measuring iron levels from a group of individuals in the group. Using that sample size, determine the range within the groups average iron level would be consider usual. Describe how you arrived at that range using the central limit theorem and the empirical rule

Need it done urgently please. Thanks alot.

Answer 1

A value is considered unusual if there is only less than 5% chance of its occurrence.

According to Empirical rule, 95% of the data lies within 2 standard deviations of mean. That is, any value that is inside 2 standard deviations of mean can be considered usual.

If sampling distribution of mean is considered, with a sample size n, according to Central Limit Theorem. the standard deviation of sampling distribution of mean which is also called the standard error, is given by = , where is the population standard deviation.

Lets indicate the population mean

Then, the range of usual values is ( - ) to ( + )

Interval that contains usual values = [ - , + ]