Question

Given a population with a mean of μ=105 and a variance of σ2=36​, the central limit...

Given a population with a mean of μ=105 and a variance of σ2=36​, 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>107​?

c. What is the probability that 104<x<106​?

d. What is the probability that x≤105.5​?

Homework Answers

Answer #1

Thanks!

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given a population with mean μ=100 and variance σ2=81, the Central Limit Theorem applies when the...
Given a population with mean μ=100 and variance σ2=81, the Central Limit Theorem applies when the sample size n≥30. A random sample of size n=30 is obtained. What are the mean, the variance, and the standard deviation of the sampling distribution for the sample mean? Describe the probability distribution of the sample mean and draw the graph of this probability distribution with its mean and standard deviation. What is the probability that x<101.5? What is the probability that x>102? What...
Given a population with a mean of µ = 100 and a variance σ2 = 12,...
Given a population with a mean of µ = 100 and a variance σ2 = 12, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 52 is obtained. What is the probability that   98.00 < x < 100.76?
Given a population with a mean of µ = 100 and a variance σ2 = 13,...
Given a population with a mean of µ = 100 and a variance σ2 = 13, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 28 is obtained. What is the probability that 98.02 < x⎯⎯ < 99.08?
What is wrong with the following statement of the central limit theorem? Central Limit Theorem.  If the...
What is wrong with the following statement of the central limit theorem? Central Limit Theorem.  If the random variables X1, X2, X3, …, Xn are a random sample of size n from any distribution with finite mean μ and variance σ2, then the distribution of will be approximately normal, with a standard deviation of σ / √n.
Question Central Limit Theorem a)According to the Central Limit Theorem, what are the mean and standard...
Question Central Limit Theorem a)According to the Central Limit Theorem, what are the mean and standard deviation of the sampling distribution of sample means? b)A population has a mean ?=1800 and a standard deviation ?=40. Find the mean and standard deviation of the sampling distribution of sample means when the sample size n=100.
If the Central Limit Theorem applies in a given situation then: ( select all that apply)...
If the Central Limit Theorem applies in a given situation then: ( select all that apply) Group of answer choices A. the standard deviation of all possible means is the standard deviation of the population divided by the square root of the size of the population B. the variance of all possible means is the variance of the population divided by the size of the population C. the mean of all possible means is the mean of the population D....
Which of the following statements is not consistent with the Central Limit Theorem? 1. The Central...
Which of the following statements is not consistent with the Central Limit Theorem? 1. The Central Limit Theorem applies to non-normal population distributions. 2. The standard deviation of the sampling distribution will be equal to the population standard deviation. 3. The sampling distribution will be approximately normal when the sample size is sufficiently large. 4. The mean of the sampling distribution will be equal to the population mean.
Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution...
Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution with μ=77 and σ=9.2. You intend to draw a random sample of size n=30. Find the probability that a sample of size n=30n=30 is randomly selected with a mean less than 76.8. P(M < 76.8) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The population has mean μ=29 and standard deviation σ=9. This distribution is shown with the black...
The population has mean μ=29 and standard deviation σ=9. This distribution is shown with the black dotted line. We are asked for the mean and standard deviation of the sampling distribution for a sample of size 34. The Central Limit Theorem states that the sample mean of a sample of size n is normally distributed with mean μx¯=μ and σx¯=σn√. In our case, we have μ=29, σ=9, and n=34. So, μx¯=29 and σx¯=934‾‾‾√=1.5 This distribution is shown with the red...
Given a population with a mean of µ = 230 and a standard deviation σ =...
Given a population with a mean of µ = 230 and a standard deviation σ = 35, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 185 is obtained. Calculate σx⎯⎯
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT