What is the z-score associated with a sample mean

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The serum concentration of free T3 (a thyroid hormone) among people between the ages of 30 and 60 is normally-distributed with mean 4.6 pmol/liter and standard deviation 0.5 pmol/liter.

A medical researcher plans a study where she will select a random sample of 16 people between the ages of 30 and 60, and measure their serum concentration of free T3.

A. What is the z-score associated with a sample mean of 4.8 pmol/liter?

B. What is the probability that the sample mean of the 16 people will be more than 4.8 pmol/liter?

C. If the researcher wants to be certain that half of her sample is male and half is female, what type of random sampling scheme should she use?

Reference no: EM132848283

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