Question

A pharmaceutical testing company wants to test a new cholesterol drug. The average cholesterol of the target population is 200 mg and they have a standard deviation of 25 mg. The company wished to test a sample of people who fall between 1.5 and 3​ z-scores above the mean. Into what range must a​ candidate's cholesterol level be in order for the candidate to be included in the​ study?

Answer 1

Answer:

The required range is 237.5 to 275.

Step-by-step explanation:

Consider the provided information.

The average cholesterol of the target population is 200 mg and they have a standard deviation of 25 mg.

The the value of μ = 200 and the $\sigma=25$

The company wished to test a sample of people who fall between 1.5 and 3​ z-scores above the mean.

Let the value of z is 1.5.

Now use the z score formula: $z=\frac{(x -\mu)}{\sigma}$

Substitute the respective values in the above formula.

$1.5=\frac{(x -200)}{25}$

$37.5=x -200$

$237.5=x$

Now let the value of z is 3.

Substitute the respective values in the z score formula.

$3=\frac{(x -200)}{25}$

$75=x -200$

$275=x$

Hence, the required range is 237.5 to 275.