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 10 mg/dl. Suppose that a sample of 4 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

Solution :

= / n = 10 / 4 = 5

Using Empirical rule,

P(  - 2 < <   + 2 ) = 95%

P(128 - 2 * 5 < < 128 + 2 * 5) = 95%

P(118 < < 138) = 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 and the upper-bound of 138