In R Program, A biology scientist claims that the distribution of the lifespans

Question

In R Program,

A biology scientist claims that the distribution of the lifespans of their testing animal subjects has a mean of 54 months and a standard deviation of 6 months. Suppose an audit group decides to check the claim by choosing a sample of 50 of these subjects.

a. Assuming that the scientist’s claim is true, describe the sampling distribution of the mean lifetime of a sample of 50 subjects.

b. Assuming that the scientist’s claim is true, what the probability the audit group’s sample has a mean life of 52 or fewer months?

Explanation / Answer

a) The sampling distribution of the mean lifetime of a sample of 50 subjects is Population mean = 54 months

b) Let X be the the life span of testing animal subjects

P(X<52) = 0.009211

since

R-Scipt:

> pnorm(52,mean=54,sd=6/sqrt(50))
[1] 0.009211063

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.