Question

A population has a mean μ=40 and a standard deviation σ=4. What is the standard deviation...

A population has a mean μ=40 and a standard deviation σ=4. What is the standard deviation of the sampling distribution of the sample means if the sample size is n=16?

Homework Answers

Answer #1

Solution :

Given that,

mean = = 40

standard deviation = = 4

n = 16

The sampling distribution of mean and standard deviation is ,

= 40

= / n = 4 / 16 = 1

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
A population has a mean μ=78 and a standard deviation σ=22. Find the mean and standard...
A population has a mean μ=78 and a standard deviation σ=22. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=264. μx= ?????
If a population is distributed with a mean μ and a standard deviation σ, then the...
If a population is distributed with a mean μ and a standard deviation σ, then the distribution of sample means is distributed A) normally with mean μ and standard deviation σ. B) normally with mean μ and standard deviation σ/√(n). C) with mean μ and standard deviation σ. D) with mean μ and standard deviation σ/√(n).
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 the population mean, μ = 45, and the population standard deviation, σ = 15 with...
Given the population mean, μ = 45, and the population standard deviation, σ = 15 with a sample size of, n = 100.n = 100. Determine P ( x ¯ ≤ 42 ). To do this problem first determine the sampling mean and the sampling standard deviation in order to convert to a z-score. Round your answer to 4 decimals.
1. For a population with a mean of μ = 55 and a standard deviation of...
1. For a population with a mean of μ = 55 and a standard deviation of σ = 24, what is the standard error of the distribution of sample means for a sample size of n=22? 2. If the population standard deviation is S= 17, how large a sample is necessary to have a standard error that is less than 10 points?
Suppose x has a normal distribution with mean μ = 16 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 16 and standard deviation σ = 11. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
1.) A population of values has a normal distribution with μ=33.7μ=33.7 and σ=19.7σ=19.7. You intend to...
1.) A population of values has a normal distribution with μ=33.7μ=33.7 and σ=19.7σ=19.7. You intend to draw a random sample of size n=113n=113. a.))) What is the mean of the distribution of sample means? b.))) What is the standard deviation of the distribution of sample means? 2.) A population has parameters μ=143.4μ=143.4 and σ=49.4σ=49.4. You intend to draw a random sample of size n=156n=156. a.))) What is the mean of the distribution of sample means? b.))) What is the standard...
A population has mean μ = 19 and standard deviation σ = 5. A random sample...
A population has mean μ = 19 and standard deviation σ = 5. A random sample of size n = 64 is selected. What is the probability that the sample mean is less than 18?
Suppose x has a normal distribution with mean μ = 52 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 52 and standard deviation σ = 4. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
Suppose x has a normal distribution with mean μ = 26 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 26 and standard deviation σ = 6. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT