Question: Problem 3: A hospital has a random sample of cholesterol measurements for middle-aged women. These patients were seen for heart issues other than cholesterol. They

Problem 3:

A hospital has a random sample of cholesterol measurements for middle-aged women. These patients were seen for heart issues other than cholesterol. They were not taking any medications for high cholesterol. The hospital hypothesizes that the average cholesterol level is 200 mg. They collect a random sample of 49 and obtain a sample mean of 213 with a standard deviation of 21.

  1. Draw the hypothesized sampling distribution and locate the sample mean.

  1. Based on the location of the sample mean, what do you think about the validity of the hypothesis?

  1. Is the sample mean within the range of what we would expect based on the random fluctuation (i.e., sampling variability)?

  1. Repeat a - c with a sample size of 9? How does the sample size impact your judgement of the hypothesis?

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