Suppose that adult glucose levels are Normally distributed with a mean of 99 mg/dL (milligrams per decilitre) and a standard deviation of 16 mg/dL. We take an SRS of 145 adults, measure their glucose levels, and calculate the sample mean. (a) If we were to take many such samples, what would be the approximate sampling distribution of the resulting sample means? Show your work, by hand. (b) Hyperglycemia is often classified as a glucose level greater than 125 mg/dL. What proportion of individuals in a single sample do we expect to have hyperglycemia? (Use R, or calculate by hand, show all work) (c) What is the probability that the mean of a sample of size 145 is greater than 125 mg/dL? (Use R, or calculate by hand, show all work)
1. Suppose that adult glucose levels are
(a) If we were to take many such samples, what would be the approximate sampling distribution of the resulting sample means? Show your work, by hand.
(b) Hyperglycemia is often classified as a glucose level greater than 125 mg/dL. What proportion of individuals in a single sample do we expect to have hyperglycemia? (Use R, or calculate by hand, show all work)
(c) What is the probability that the mean of a sample of size 145 is greater than 125 mg/dL? (Use R, or calculate by hand, show all work)
(d) Between which values would the middle 60% of sample means lie? (Use R, or calculate by hand, show all work)
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