Question

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?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

1) Given a population with a mean of μ = 55 and a standard deviation of σ = 24, hence the standard error of the distribution of sample means for a sample size of n=22 is calculated as:

2) If the population standard deviation is S= 17, the sample size that is necessary to have a standard error that is less than 10 points can be calculated using the standard error formula which is

Thus a minimum sample of 3 is required to have a standard error less than 10.

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
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).
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?
A random sample is drawn from a population with mean μ = 72 and standard deviation...
A random sample is drawn from a population with mean μ = 72 and standard deviation σ = 6.0. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 45 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...
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...
A random sample is drawn from a population with mean μ = 64 and standard deviation...
A random sample is drawn from a population with mean μ = 64 and standard deviation σ = 5.3. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 34 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...
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?
A random sample is drawn from a population with mean μ = 53 and standard deviation...
A random sample is drawn from a population with mean μ = 53 and standard deviation σ = 4.4. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 13 and n = 38 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 13 will have...
A random sample is selected from a population with mean μ = 100 and standard deviation...
A random sample is selected from a population with mean μ = 100 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 8 μ = σ = (b) n = 14 μ = σ = (c) n = 34 μ = σ = (d) n = 55 μ = σ = (f) n = 110...
If the population standard deviation is σ= 5, how large a sample is necessary to have...
If the population standard deviation is σ= 5, how large a sample is necessary to have a standard error that is a. less than 3 points? b. less than 2 points? c. less than 1 point?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT