Question

Suppose that women’s hourly earnings are distributed non-normally with mean $20 and standard deviation $10. What...

Suppose that women’s hourly earnings are distributed non-normally with mean $20 and standard deviation $10. What is the sampling distribution of the mean in SRS for n=100?
Business   Economics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The central limit theorem states that the sampling distribution of the sample mean approximates the normal distribution, regardless of the distribution of the population from which the samples are drawn if the sample size is sufficiently large even if the sample is drawn from a population that is not normally distributed.

Thus the sampling distribution of the mean

where = population distribution & = sampling distribution

Thus sampling distribution of the mean = $ 20

Standard error of the mean

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that X is normally distributed with mean 115 and standard deviation 20. A. What is...
Suppose that X is normally distributed with mean 115 and standard deviation 20. A. What is the probability that X is greater than 152? Probability = B. What value of X does only the top 11% exceed? X =
1. Suppose a random sample of 100 elements is selected from a non-normally distributed population with...
1. Suppose a random sample of 100 elements is selected from a non-normally distributed population with a mean of µ = 30 and a standard deviation of σ = 8. a. What is the expected value of ?̅? b. What is the standard error of the mean ??̅? c. What is the sampling distribution of ?̅? Describe its properties. d. If we select a random sample of size n = 100, what is the probability that ?̅will fall within ±...
IQ is normally distributed in the population with a mean of 100 and a standard deviation...
IQ is normally distributed in the population with a mean of 100 and a standard deviation of 15. For samples of 25 people, the mean of the sampling distribution of the mean is ____ and the standard error of the mean is ____. (give numeric answers) I need help with both parts, please and thank you!
1. Men’s heights are normally distributed with a mean 69.5in and standard deviation 2.4in. Women’s heights...
1. Men’s heights are normally distributed with a mean 69.5in and standard deviation 2.4in. Women’s heights are normally distributed with mean 63.8 in and standard deviation 2.6 in. a) What percentage of women are taller than 68 inches tall? b) The U.S. Airforce requires that pilots have heights between 64in. And 77in. What percentage of adult men meet the height requirements? c) If the Air Force height requirements are changed to exclude only the tallest 3% of men and the...
A population is normally distributed with a mean of 16.6 and a standard deviation of 0.5....
A population is normally distributed with a mean of 16.6 and a standard deviation of 0.5. A sample of size 41 is taken from the population. What is the the standard deviation of the sampling distribution? Round to the nearest thousandth.
A population is normally distributed with a mean of 30 and a standard deviation of 4....
A population is normally distributed with a mean of 30 and a standard deviation of 4. a. What is the mean of the sampling distribution (μM) for this population? b. If a sample of n = 16 participants is selected from this population, what is the standard error of the mean (σM)? c. Let’s say that a sample mean is 32. 1) What is the z-score for a sample mean of 32? (calculate this) 2) What is the probability of...
IQ scores are normally distributed with a mean of 100 and a standard deviation of 16....
IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. a. If the sample size is n=49, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample mean is?
True or False? The sampling distribution of the sample mean of a non-normally distributed population will...
True or False? The sampling distribution of the sample mean of a non-normally distributed population will also be normally distributed as long as the sample size is greater than 10. The sampling distribution of the sample mean of a normally distributed population will not be normally distributed if sample size is less than 30.
Suppose that ? is normally distributed with mean 90 and standard deviation 11. A. What is...
Suppose that ? is normally distributed with mean 90 and standard deviation 11. A. What is the probability that ? is greater than 109.25? B. What value of ? does only the top 15% exceed?
A random variable X is normally distributed. It has a mean of 254 and a standard...
A random variable X is normally distributed. It has a mean of 254 and a standard deviation of 21. List the givens with correct symbols: ? (σ N X̄ μ s X p n) = 254 ? (X̄ n σ s X p μ N) = 21 a) If you take a sample of size 21, can you say what the shape of the sampling distribution for the sample mean is?   ? Yes No Why or why not? Check all...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT