Question

The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3 kg and standard deviation 0.1 kg. Reference: Ref 13-9 If you take a random sample of 25 healthy adult men, what is the probability that their average total body protein is between 12.25 and 12.35 kg? Select one: a. 0.9876 b. 0.3829 c. 0.0796 d. 0.0062

Answer 1

Answer: a. 0.9876

Step-by-step explanation:

Given : The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3 kg and standard deviation 0.1 kg.

$\mu=12.3$ and $\sigma=0.1$

sample size : n= 25

Let x denotes the  total body protein in healthy adult men in the sample.

Then, the probability that their average total body protein is between 12.25 and 12.35 kg will be :-

$P(12.25$

∴ The correct answer is a. 0.9876