The two curves below represent the sampling distribution of the sample mean X for two different sample sizes: n = 256 and n = 576.
In both cases the samples are selected from the same population.
Note that the standard deviation for sampling distribution A is SD(X) = 8 and for sampling distribution B the standard deviation is SD(X) = 12.
What is the standard deviation SD(X) of the population from which the samples are taken?
A-8^2
B-(12+8)/2
C-13.86
D-12^2
E-192
The two curves below represent the sampling distribution of the sample mean X for two different...
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...
A sample of size n = 36 is selected from a population with mean E(X) = 52 and standard deviation SD(X) = 26. The expected value E(x) and standard deviation SD(x) of the sampling distribution of the sample mean x are: 52 and 4.33, respectively 52 and 18.78 respectively 52 and 26, respectively 52 and 0.85 respectively 52 and 0.72 respectively
A sample of size n = 49 is selected from a population with mean E(X) = 58 and standard deviation SD(X) = 22. The expected value E(x) and standard deviation SD(x) of the sampling distribution of the sample mean x are:_______________ A) 58 and 0.67 respectively B) 58 and 22, respectively C) 58 and 9.88 respectively D) 58 and 3.14, respectively E) 58 and 0.45 respectively
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size,n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the above...
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?
Question 1 1 pts The sampling distribution of the sample mean refers to d the distribution of the different possible values of the sample mean O the distribution of the various sample sizes O the distribution of the values of the objects/individuals in the population O the distribution of the data values in a given sample O none of the listed Question 2 1 pts The Central Limit Theorem states that O if the sample size is large, then the...
ORMAL CURVES AND SAMPLING DİSTRIBUTIONS Basic Computation: Central Limit Theorem Suppose x has a distributi on with a mean of 20 and a standard deviation of 3. Random samples of size n are drawn. (a) Describe the a distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 19. (c) Find Pr < 19) (d) Interpretation Would it be unusual for a random sample of size 36 from the x...
11. If the standard deviation of the mean for the sampling distribution of random samples of size 36 from a large or infinite population is 2, how large must the sample size become if the standard deviation is to be reduced to 1.2? Show work. (8 points)
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the...
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...