Given a population with a mean of = 150 and a variance of 2 =

Question:

Given a population with a mean of μ = 150 and a variance of σ= 1,600, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 36 is obtained.

a. What are the mean and variance of the sampling distribution for the sample means?

b. What is the probability that x > 155?

c. What is the probability that 145 ≤ x̅ ≤160?

d. What is the probability that x ≤ 165?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question

Statistics For Business And Economics

ISBN: 9781292315034

9th Global Edition

Authors: Paul Newbold, William Carlson, Betty Thorne

Question Posted: