A random sample of size n=30 is to be drawn from a population with a mean of 500 and a standard deviation of 200. What is the standard error of the sampling distribution of x̅? 200 36.51 30 91.29
Solution:
Given in the question
Population mean = 500
Population standard deviation = 200
No. Of sample = 30
Standard error of the sampling distribution = population standard deviation/sqrt(n) = 200/sqrt(30) = 200/ 5.4772 = 36.51
So its answer is B. I.e. 36.51
A random sample of size n=30 is to be drawn from a population with a mean...
A random sample of size n is to be drawn from a population with a mean =900 and standard deviation =200 .What size sample would be necessary in order to ensure a standard error of 25 ?
A random sample of size n is to be drawn from a population with the mean being 800 and the standard deviation being 300. What size sample would be necessary in order to reduce the standard error to 10?
Random samples of size n = 2 are drawn from a finite population that consists of the numbers 2, 4, 6, and 8. (a) Calculate the mean and the standard deviation of this population. (b) List the six possible random samples of size n = 2 that can be drawn from this population and calculate their means. (c) Use the results of part (b) to construct the sampling distribution of the mean for random samples of size n = 2...
Fill in the blanks to correctly complete the sentence below. Suppose a simple random sample of size n is drawn from a large population with mean u and standard deviation o. The sampling distribution of x has mean u;= __ deviation = and standard Suppose a simple random sample of size n is drawn from a large population with mean u and standard deviation o. The sampling distribution of x has mean u; = | Vand standard deviation or
A random sample of size n = 64 is selected from a population with mean μ = 52 and standard deviation σ = 24. a. What will be the approximate shape of the sampling distribution of x? skewed symmetric normal b. What will be the mean and standard deviation of the sampling distribution of x? mean= standard deviation=
A random sample of 75 measurements is drawn from a population with a mean of 60 and a standard deviation of 5. 17.) The mean of the sampling distribution of y hat is ________. 18.) The standard error of the sampling distribution of y hat is __________. (use 4 decimal places).
If random samples of size n = 36 are drawn from a nonnormal population with finite mean = 75 and standard deviation = 15, then the sampling distribution of the sample mean is approximately normally distributed with mean = 75 and standard deviation = 2.5. Select one: O a. False O b. True
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 107 , and the sample standard deviation, s, is found to be 10 .(a) Construct a 98 % confidence interval about μ if the sample size, n, is 22 .(b) Construct a 98 % confidence interval about μ if the sample size, n, is 12 .(c) Construct a 95 % confidence interval about μ if the...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 109 , and the sample standard deviation, 5 , is found to be 12 .(a) Construct a 96 % confidence interval about μ if the sample size, n, is 23 .(b) Construct a 96 % confidence interval about μ if the sample size, n, is 16 .(c) Construct a 90 % confidence interval about μ if...
A random sample of n=49 observations is drawn from a population with a mean equal to15 and a standard deviation equal to14. THE ANSWER FOR A AND B ARE CORRECT - C AND D ARE INCORRECT. PLEASE GIVE ME THE CORRECT ANSWER FOR D. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the...