Question

A random sample is drawn from a normally distributed population with mean μ = 25 and...

A random sample is drawn from a normally distributed population with mean μ = 25 and standard deviation σ = 1.5.

a. Are the sampling distributions of the sample mean with n = 33 and n = 66 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 = 33 will have a normal distribution.

  • No, only the sample mean with n = 66 will have a normal distribution.

b. Calculate the probabilities that the sample mean is less than 25.7 for both sample sizes. (Round answers to 4 decimal places.)

n Probability

33

66

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

Homework Answers

Answer #1

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 random sample is drawn from a normally distributed population with mean μ = 30 and...
A random sample is drawn from a normally distributed population with mean μ = 30 and standard deviation σ = 2.3. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n = 35 and n = 76 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 = 35...
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 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...
A random sample is drawn from a population with mean μ = 52 and standard deviation...
A random sample is drawn from a population with mean μ = 52 and standard deviation σ = 4.3. a. Is the sampling distribution of the sample mean with n = 13 and n = 39 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 normal distribution. No, only the sample mean with n...
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 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...
A random sample is selected from a population with mean μ = 102 and standard deviation...
A random sample is selected from a population with mean μ = 102 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 = 12 μ =   σ =   (b) n = 13 μ =   σ =   (c) n = 37 μ =   σ =   (d) n = 70 μ =   σ =   (f) n = 140...
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 simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10. ​(a) Construct a 90​% confidence interval about μ if the sample​ size, n, is 22. ​(b) Construct a 90​% confidence interval about μ if the sample​ size, n, is 15. ​(c) Construct an 80​% confidence interval about μ if the sample​ size, n, is...
A simple random sample of size n=40 is obtained from a population with μ = 50...
A simple random sample of size n=40 is obtained from a population with μ = 50 a n d σ = 4. Does the population distribution need to be normally distributed for the sampling distribution of x ¯ to be approximately normally distributed? Why or why not? What is the mean and standard deviation of the sampling distribution?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT