Graded Assignment Read Chapter 121 Back to Assignment Due Thursday 06.28.18 at 1
ID: 3370658 • Letter: G
Question
Graded Assignment Read Chapter 121 Back to Assignment Due Thursday 06.28.18 at 11:00 AM Attempts: Do No Harm:111 2. Understanding the sampling distribution of the mean You are interested in estimating the mean of a population. You plan to take a random sample from the population and use the sample's mean as an estimate of the population mean Assuming that the population from which you select your sample is normal, which of the statements about are true? Check all that apply It follows a normal distribution for any sample size. The variance of its sampling distribution is equal to the variance of the population divided by the sample sine It folows a normal distribution only for sufficiently large sample sizes The variance of its sampling disbribution is equal to the population variance Its expected value is equal to the value of the population mean divided by the sample sine ? Its expected value (mean) is equal to the vaue of the population mean. Assume that the population from which you select your sample is not normal. Which of the statements about are true? Check all that apply lts expected value (mean) is equal to the value of the population mean The veriance of its sampling distribution is equal to the population variance Dt folows a normal detrbtion fo"y sample see It follows a normal distrbution ony for suficiently ge sample sices The variance of its sampling distribution is equal to the variance of the population divided by the sample se MacBook Air 8 9 commandopExplanation / Answer
Q1. Correct Choices :
A.It follows a normal distribution for any sample size;
B.The variance of its sampling distribution is equal to the variance of the population divided by the sample size;
E.The expected value(mean) is equal to the value of the population mean.
Explanation : Since the original distribution is normal, the sample mean will follow normal distribution regardless of the size of the sample. So A is correct. We know that variance of the sampling distribution of mean is equal to the population variance divided by sample size. So B is correct. And also, expected value of sample mean is always population mean. So E. is correct.
Q2 Correct Choices :
A. The expected value(mean) is equal to the value of the population mean.
D.It follows a normal distribution for sufficiently large sample size
E.The variance of its sampling distribution is equal to the variance of the population divided by the sample size
Explanation : Choices A and E are correct in this case also because as explained in Question 1, it doesn't depend on the nature of the original distribution. Regarding choice D, Since the original distribution is not normal, the sample mean will follow normal distribution only for large sample sizes. So D is correct.
Dear student,
If you find this answer helpful, do provide your valuable feedback through voting and commenting.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.