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here the question is to prove that the standard deviation of sampling distribution of sample mean is sigma/sqrt(n).
here we will assume that the sample is independently drawn from a certain pdf. then
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FIU 3721 Prove that the standard deviation of the sampling distribution of a group with n...
1) Random samples of size n were selected from populations with the means and variances given...
1) 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 = 16, μ = 14, σ2 = 9 μ=σ= (b) n = 100, μ = 9, σ2 = 4 μ=σ= (c) n = 10, μ = 118, σ2 = 1 μ=σ= 3) A random sample of size...
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 xbar sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 15 μ = σ = (b) n = 35 μ = σ = (c) n = 55 μ = σ = (d) n = 110 μ = σ = (e) n = 440...
For each of the following, find the mean and standard deviation of the sampling distribution of...
For each of the following, find the mean and standard deviation of the sampling distribution of the sample mean. State if the sampling distribution is normal, approximately normal, or unknown. a. The population is skewed right with a mean of 4 and a standard deviation of 6. Many samples of size 100 are taken. b. The population is normal with a mean of 61 and a standard deviation of 9. Many samples of size 900 are taken. c. The population...
If standard deviation ?n=3 for the sampling distribution of random samples of size 81 from a...
If standard deviation ?n=3 for the sampling distribution of random samples of size 81 from a large population. What sample size (drawn from the same population) would have standard deviation ?n=2.7? 27 100 108 73
8 pts Question 2 U Find the standard deviation of the sampling distribution for of samples...
8 pts Question 2 U Find the standard deviation of the sampling distribution for of samples of size n = 49, when the source distribution's population mean is 101 and and population standard deviation is 15.6 101 15.6 O 6,47 14.4 2.23 Question 3 8 pts The weights of people in a certain population are normally distributed with a mean of 148 lb and a standard deviation of 191b. Suppose that we select samples of size 40. Determine the mean...
Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ...
Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ = 8. That is, ?~?(50,8). Circle your final answer for each question below. 23. What is the z-score for an individual with a value of 38? 24. What is the probability that a randomly chosen individual from this population will be greater than 40? 25. What is the probability that a randomly chosen individual from this population will be between 44 and 60? 26....
Find and , the mean and standard deviation of the sampling distribution of : μ = 25,...
Find and , the mean and standard deviation of the sampling distribution of : μ = 25, σ = 5, n = 10. A. = 25, = 1.58 B. = 25, = 0.5 C. = 2.5, = 0.5 D. = 7.91, = 1.58
7. The standard deviation of the mean for the sampling distribution of random samples of size...
7. The standard deviation of the mean for the sampling distribution of random samples of size n-36 from a large (or infinite) population is 2. How large must the sample size be to decrease the standard deviation to 1.2?
Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ...
Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ = 8. That is, ?~?(50,8). Circle your final answer for each question below. 26. If samples of size 25 are drawn from the population, what is the mean of the sampling distribution of ?̅? 27. If samples of size 25 are drawn from the population, what is the standard deviation of the sampling distribution of ?̅?
What you have Distribution of X. Find the mean and standard deviation of Sampling Distribution. To...
What you have Distribution of X. Find the mean and standard deviation of Sampling Distribution. To do this, click on: c STAT → BASIC STATISTICS → DISPLAY DESCRIPT STATISTICS On the input screen that appears, select C3 for the Variable. The results will be in the Session Window. Wait until after to print the Session Window.) a. How does the mean of C3 (x) compare to the mean of the original population, μ? Recall that the mean of the original...
8 pts Question 2 U Find the standard deviation of the sampling distribution for of samples of size n = 49, when the source distribution's population mean is 101 and and population standard deviation is 15.6 101 15.6 O 6,47 14.4 2.23 Question 3 8 pts The weights of people in a certain population are normally distributed with a mean of 148 lb and a standard deviation of 191b. Suppose that we select samples of size 40. Determine the mean...
7. The standard deviation of the mean for the sampling distribution of random samples of size n-36 from a large (or infinite) population is 2. How large must the sample size be to decrease the standard deviation to 1.2?
What you have Distribution of X. Find the mean and standard deviation of Sampling Distribution. To do this, click on: c STAT → BASIC STATISTICS → DISPLAY DESCRIPT STATISTICS On the input screen that appears, select C3 for the Variable. The results will be in the Session Window. Wait until after to print the Session Window.) a. How does the mean of C3 (x) compare to the mean of the original population, μ? Recall that the mean of the original...
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