Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and

Question

2 years ago

5

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?

Mathematics

1 answer:

Lelechka [254] · Answer 1 · 2022-07-14T18:30:52+03:00

Answer:

134.6

Step-by-step 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