Question: 6.8 Given a population with mean m = 400 and variance s2 = 1, 600, the central limit theorem applies when the sample size is

6.8 Given a population with mean m = 400 and variance s2 = 1, 600, the central limit theorem applies when the sample size is n Ú 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 7 412?

c. What is the probability that 393 … x … 407?

d. What is the probability that x … 389?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related OpenIntro Statistics Questions!

Given a population with mean m = 400 and variance s2 = 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...

Given a population with mean = 400 and variance 2 = 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...

A population is distributed with a known standard deviation, =15 units. A random sample of size 30 is obtained from this population. The mean of this sample is 80 . 1. True or False: Since the sample...

Directions: Read and analyze the story below. Write the letter of the correct answer on your answer sheet. 1. According to Central Limit theorem, which sample size will give a smaller standard error...

1.What causes statistical methods to be not reliable? 2.Briefly define a simple random sample. 3.Briefly define stratified sampling. 4.Briefly define a cluster sample. 5.Briefly define a multistage...

QUESTION 1 The central limit theorem describes three important properties of all distributions of sample means of any given sample size. What are the three properties it describes? Select all that...

In a study that compared two different medications for the treatment of allergic rhinitis, each patient was asked to rank his or her severity of symptoms on a scale of 0 to 4 (0= none, 1= mild, 2 =...

Im very confused how to solve these problems . Could you explain what steps i need to take ? Problem #1: Answer by True or False: a. The central limit theorem applies if sample size n = 20 and the...

12.The probability that a person tested positive on a screening test given that he/she has a disease is called the Sensitivity Specificity Negative predictive value Positive predictive value 16If a z...

1)For this situation, classify thegiven percent? Based on the 2000 Census, 31.5% of the Australian population who are over 5 years old speak languages other than English at home. Select one:...

Chance Morton, the manager of the service department at the Proton Electronics Company, is evaluated based on the profit performance of his department. The profit of the department is down this year...

The general ledger of the Karlin Company, a consulting company, at January 1, 2011, contained the following account balances: The following is a summary of the transactions for the year: a. Sales of...

A taxable bond has a coupon rate of 5 . 8 6 percent and a YTM of 5 . 5 5

The total cost to produce x large jewelry-making kits and y small ones is given by C(x, y) = 2x 2 + 6y 2 + 4xy + 10. If a total of ten kits must be made, how should production be allocated so that...

How many people do you think need to be in a room so that 2 people will have the same birthday (month and day)?You might think it is 366. This would, of course, guarantee it (excluding leap year),...

A music player or music organization program can keep track of how many different artists are in a library. First note how many different artists are in your music library. Then find the probability...

In classical probability, all outcomes in the sample space are equally likely.

7. On January 3, Morgan Corporation purchased 2,350 shares of the company's $1 par value common stock as treasury stock, paying cash of $8 per share. On January 30, Morgan sold 1,400 shares of the...

into Sharing Economy is a technology that allows unrelated parties to share assets like office, homes, cars, computers, machines, small jets, books, even clothes. The examples are Uber or AirBnB,...

5 (8 points) Journal entries -3 questions 2 2 3 +1 explanations 8 total