What you have Distribution of X. Find the mean and standard deviation of Sampling Distribution. To...
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...
Sampling Distributions Given a sampling distribution of means, how are the mean and standard deviation determined (calculated)? If an original sampling is not normal, how many must we sample to say it is approximately normal? Given a sampling distribution of proportions, how are the mean and standard deviation determined (calculated)?
R problem 1: The reason that the t distribution is important is that the sampling distribution of the standardized sample mean is different depending on whether we use the true population standard deviation or one estimated from sample data. This problem addresses this issue. 1. Generate 10,000 samples of size n- 4 from a normal distribution with mean 100 and standard deviation σ = 12, Find the 10,000 sample means and find the 10,000 sample standard deviations. What are the...
The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation according to the Central limit Theorem. (Ch8) True False
Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 50 and standard deviation 15. Diane obtains 1000 random samples of size 4 from the population, finds the mean of the means, and determines the standard deviation of the means Jack does the same simulation, but obtains 1000 random samples of sten 30 from the population. Complete parts (a) through (c) below (a) Describe the...
For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 97, 94, 95. Use a sample size of 3. The mean of the population is Round to two...
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...
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 above...