# Question

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 sampling distribution for the sample means?

b. What is the probability that x-bar > 412?

c. What is the probability that 393 ≤ x-bar ≤ 407?

d. What is the probability that x-bar ≤ 389?

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

b. What is the probability that x-bar > 412?

c. What is the probability that 393 ≤ x-bar ≤ 407?

d. What is the probability that x-bar ≤ 389?

## Answer to relevant Questions

It is known that the incomes of subscribers to a particular magazine have a normal distribution with a standard deviation of $6,600. A random sample of 25 subscribers is taken. a. What is the probability that the sample ...When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 92.0 and a standard deviation of 3.6. A random sample of 4 different hours was taken. a. Find ...Assume a normal distribution with known population variance. Calculate the width to estimate the population mean, m, for the following. a. 90% confidence level; n = 100; σ2 = 169 b. 95% confidence level; n = 120; σ = 25 Twenty people in one large metropolitan area were asked to record the time (in minutes) that it takes them to drive to work. These times were as follows: 30 42 35 40 45 22 32 15 41 45 28 32 45 27 47 50 30 25 46 25 a. ...A clinic offers a weight-loss program. A review of its records found the following amounts of weight loss, in pounds, for a random sample of 24 of its clients at the conclusion of a 4-month program: a. Find a 99% confidence ...Post your question

0