Math  /  Data & Statistics

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Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39.3 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use the TI-84 Plus calculator. Round the answers to at least four decimal places.
Part 1 of 3 (a) What is the probability that the sample mean cholesterol level is greater than 205?
The probability that the sample mean cholesterol level is greater than 205 is 0.0331 .
Part 2 of 3 (b) What is the probability that the sample mean cholesterol level is between 186 and 192?
The probability that the sample mean cholesterol level is between 186 and 192 is 0.0572 .
Part: 2/32 / 3
Part 3 of 3 (c) Using a cutoff of 0.05 , would it be unusual for the sample mean to be less than 194?
It \square (Choose one) be unusual for the sample mean to be less than 194, since the probability is \square . Skip Part Check Save For Later Submit Assignmen

Studdy Solution
(a) 0.0331 (b) 0.0572 (c) It would *not* be unusual for the sample mean to be less than 194, since the probability is 0.1469.

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