Question

Suppose that we will take a random sample of size n from a population having mean...

Suppose that we will take a random sample of size n from a population having mean µ and standard deviation σ. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean  :


(a) µ = 20, σ = 2, n = 41 (Round your answers of "σ" and "σ2" to 4 decimal places.)

µ
σ2
σ


(b) µ = 502, σ = .7, n = 132 (Round your answers of "σ" and "σ2" to 4 decimal places.)

µ
σ2
σ


(c) µ = 3, σ = 1.0, n = 7 (Round your answers of "σ" and "σ2" to 4 decimal places.)

µ
σ2
σ


(d) µ = 120, σ = 3, n = 1,722 (Round your answers of "σ" and "σ2" to 4 decimal places.)

µ
σ2
σ

Homework Answers

Answer #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
Suppose that we will take a random sample of size n from a population having mean...
Suppose that we will take a random sample of size n from a population having mean µ and standard deviation σ. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean : (a) µ = 18, σ = 2, n = 22 (Round your answers of "σ " and "σ 2" to 4 decimal places.) (b) µ = 494, σ = .3, n = 125 (Round your answers of...
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
Random samples of size n were selected from populations with the means and variances given here....
Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 25, μ = 12, σ2 = 9 μ = σ = (b) n = 100, μ = 3, σ2 = 4 μ = σ = (c) n = 10, μ = 124, σ2 = 1 μ =...
Suppose that we will randomly select a sample of 79 measurements from a population having a...
Suppose that we will randomly select a sample of 79 measurements from a population having a mean equal to 21 and a standard deviation equal to 8. (a) Describe the shape of the sampling distribution of the sample mean . Do we need to make any assumptions about the shape of the population? Why or why not? Normally distributed ; yes , because the sample size is large . (b) Find the mean and the standard deviation of the sampling...
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.
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 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...
A random sample of size n = 50 is selected from a binomial distribution with population...
A random sample of size n = 50 is selected from a binomial distribution with population proportion p = 0.8. Describe the approximate shape of the sampling distribution of p̂. Calculate the mean and standard deviation (or standard error) of the sampling distribution of p̂. (Round your standard deviation to four decimal places.) mean = standard deviation = Find the probability that the sample proportion p̂ is less than 0.9. (Round your answer to four decimal places.)
A random sample of size n = 241 is taken from a population of size N...
A random sample of size n = 241 is taken from a population of size N = 5,588 with mean μ = −68 and variance σ2 = 183. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...
1) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 6, and...
1) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 6, and p = 0.11. Write the probability distribution. Round to six decimal places, if necessary. x P(x) 0 1 2 3 4 5 6 Find the mean. μ = Find the variance. σ2 = Find the standard deviation. Round to four decimal places, if necessary. σ = 2) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 10, and p =...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT