The blood cholesterol levels of a population of workers have mean 202

Question

The blood cholesterol levels of a population of workers have mean 202 mg/dl and standard deviation 14 mg/dl. If a sample of 36 workers is selected from the population and sample mean is calculated then find

i) mean and standard error of the sampling distribution of the mean.

ii) approximate the probability that the sample mean of their blood cholesterol levels will lie between 198 mg/dl and 206 mg/dl.

04 Feb 2023

Answer :

Word Count : 243

i) Mean and standard error of the sampling distribution of the mean: The mean of the sampling distribution of the mean is equal to the population mean, which is 202 mg/dl.

The standard error of the sampling distribution of the mean is given by the formula:

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