Question

A random sample of size n = 49 is selected from a population with mean μ...

A random sample of size n = 49 is selected from a population with mean μ = 54 and standard deviation σ = 14. What will be the mean and standard deviation of the sampling distribution of x?

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 54

standard deviation = = 14

n = 49

sample distribution of sample mean is ,

=

= 54

sampling distribution of standard deviation

=  / n = 14 / 49

= 2

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 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...
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?
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...
Suppose a simple random sample of size n=36 is obtained from a population with μ= 89...
Suppose a simple random sample of size n=36 is obtained from a population with μ= 89 and σ= 12. Find the mean and standard deviation of the sampling distribution of X. a) What is P (x > 91.4)? b) What is P (x ≤ 84.8)? c) What is P(86< x<93.3)?
Suppose that a random sample of size 64 is to be selected from a population with...
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What is the mean of the xbar sampling distribution? 40 What is the standard deviation of the xbar sampling distribution? .625 (b) What is the approximate probability that xbar will be within 0.5 of the population mean μ ? (c) What is the approximate probability that xbar will differ from μ by more than 0.7?
A random sample of n = 25 is selected from a normal population with mean μ...
A random sample of n = 25 is selected from a normal population with mean μ = 101 and standard deviation σ = 13. (a) Find the probability that x exceeds 108. (Round your answer to four decimal places.) (b) Find the probability that the sample mean deviates from the population mean μ = 101 by no more than 3. (Round your answer to four decimal places.)
A random sample of size n = 80 is taken from a population with mean μ...
A random sample of size n = 80 is taken from a population with mean μ = -15.2 and standard deviation σ = 5. What is the probability that the sample mean falls between -15 and -14? (Do not round intermediate calculations. If you use the z table, round "z" values to 2 decimal places. Round your final answer to 4 decimal places.
Suppose that a random sample of size 64 is to be selected from a population with...
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are the mean and standard deviation of the sampling distribution? μx = σx = (b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P = (c) What is the approximate probability that x will differ from μ by more than 0.8?...
A random sample of n = 25 is selected from a normal population with mean μ...
A random sample of n = 25 is selected from a normal population with mean μ = 102 and standard deviation σ = 11. (a) Find the probability that x exceeds 107. (Round your answer to four decimal places.) (b) Find the probability that the sample mean deviates from the population mean μ = 102 by no more than 2. (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer...
Suppose that we take a random sample of size n from a population having a mean...
Suppose that we take a random sample of size n from a population having a mean μ and a standard deviation of σ. What is the probability or confidence we have that our sample will be within +/- 1 of the population mean μ? (a) μ = 10, σ = 2, n = 25
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT