Question

For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 128 mg/dl and a standard deviation 8 mg/dl. Suppose that a sample of 3 patients will be selected and the sample mean blood-glucose level will be computed. Enter answers rounded to three decimal places.

According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between the lower-bound of _________ and the upper-bound of ______

Answer 1

Using Empirical rule,

P(  - 2 < X <   + 2 ) = 95%

= / n = 8 / 3

P(128 - 2 * 8 / 3 < < 128 + 2 * 8 / 3) = 95%

P(118.762 < < 137.238) = 95%

According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose

level will be between the lower-bound of 118.762 and the upper-bound of 137.238