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Systolic blood pressure (SBP) in healthy US adults is normally distributed with mean 116 mmHg [2]...

Systolic blood pressure (SBP) in healthy US adults is normally distributed with mean 116 mmHg [2] and standard deviation 10 mmHg. Suppose that you select repeated samples of size 15 from this population and calculate the mean for each sample.

a) if you were to select a large number of random samples, each size 15, what would be the mean of the samples mean?

b) what would be the standard deviation of these sample means? what is another name for the standard deviation of the sample means?

c) how does the standard deviation of the sample means compare with the standard deviation of individual SBP values?

d) if you were to take all the sample means and use them to construct a histogram, what would be the shape of their distribution?

e) what proportion of the means of sample size 15 are less than 110mmHg?

f) what proportion of the means are larger than 120mmHg?

g)what proportion of the means are between 110 and 120mmHg?

Math   Statistics-And-Probability   
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