# Question

Given a population with a mean of μ = 100 and a variance of σ2 = 81, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 25 is obtained.

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

b. What is the probability that x-bar > 102?

c. What is the probability that 98 ≤ x-bar ≤ 101?

d. What is the probability that x-bar ≤ 101.5?

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

b. What is the probability that x-bar > 102?

c. What is the probability that 98 ≤ x-bar ≤ 101?

d. What is the probability that x-bar ≤ 101.5?

## Answer to relevant Questions

A process produces batches of a chemical whose impurity concentrations follow a normal distribution with a variance of 1.75. A random sample of 20 of these batches is chosen. Find the probability that the sample variance ...The number of hours spent watching television by students in the week before final exams has a normal distribution with a standard deviation of 4.5 hours. A random sample of 30 students was taken. a. Is the probability more ...A drug company produces pills containing an active ingredient. The company is concerned about the mean weight of this ingredient per pill, but it also requires that the variance (in squared milligrams) be no more than 1.5. A ...Given a population with a mean of μ = 200 and a variance of σ2 = 625, the central limit theorem applies when the sample size n ≥ 25. A random sample of size n = 25 is obtained. a. What are the mean and variance of the ...Given a population with mean μ = 400 and variance σ2 = 1, 600, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 35 is obtained. a. What are the mean and variance of the ...Post your question

0