The mean of diastolic blood pressure (DBP) level for Americans to be 72.0 mmHg. The estimated standard deviation was approximately 10.3 mmHg. Using these estimates as mean and standard deviation for the American population, consider the sampling distribution of sample means based on a sample size of 40 drawn.
a) What would the proportion of sample mean levels of DBP 55.0 mmHg or lower?
b) What would the proportion of sample mean levels of DBP 85.0 mmHg or higher?
c) What would the proportion of sample mean levels of DBP between 55.0 and 85.00 mmHg?
d) Can a sample of any size be used to estimate the proportion of sample means? Instead of a sample of 40, we had a sample of 400. The proportion estimated from which sample mean will be closer to the population mean? Why?
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