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According to recent studies, cholesterol levels in healthy US adults average 215 mg/dL, with a standard deviation of 30 mg/dL and are Normally distributed. If

According to recent studies, cholesterol levels in healthy US adults average 215 mg/dL, with a standard deviation of 30 mg/dL and are Normally distributed. If the cholesterol levels of a sample of 42 healthy US adults is taken

a) What shape should the sampling distribution of the mean have?

b) What would the mean of the sampling distribution be?

c) What would the standard deviation be?

d) If the sample size were increased to 100, would your answers to the above questions change?

e) What is the probability that the mean cholesterol level of the sample will be between 205 and 225?

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