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Among adults in the United States, the distribution of albumin levels (albumin is a type of...

Among adults in the United States, the distribution of albumin levels (albumin is a type of protein) in cerebrospinal fluid is roughly symmetric with mean m = 29.5 mg/100ml and standard deviation of s = 9.25mg/100ml . Suppose that you repeatedly select samples of size 20 from this population and calculate the mean and standard deviation for each sample.

1)What proportion of all sample standard deviations would be greater than 12 mg/100ml?

2)What two bounds would define the middle 95% of the distribution of sample standard deviations across all of the samples?

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