Question

Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?

Answer 1

134.6

Explanation:

Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.

The level is L = 134.6

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation