courses.aplia.com Imagine that you are doing an exhaustive study on the children
ID: 3331510 • Letter: C
Question
courses.aplia.com Imagine that you are doing an exhaustive study on the children in all of the elementary schools in your school district. You are particularly interested in how much time children spend reading on weekdays You find that for this population of 2,431 children, the average number of minutes spent reading on weekdays is = 11.03, with a standard deviation of -19.64. You select a random sample of 25 children of elemer chool age in this same school district. In this sample, you find that the average number of minutes the children spead reading on weekdays is M 9.93, with a standard deviation of s- 21.60. The difference between M and is due to the Suppose you compile all possible samples of 25 children of elementary school age in your school district. If you calculate the mean of each sample (M) and create a frequency distribution of these means, this distribution is referred to as the The mean of this distribution, that is, the mean of all the sampie means (when n - 25), is the expected value of M and will be equal to called the standard error of M and will be equal to The standard deviation of this distribution is Suppose you compile all possible samples of 100 children of elementary school age in your school district, the expected value of M (when n - 100) will be the expected value of M for all of the possible samples of school age in your school district. The standard error of M for this distribution of samples when n - 100 will be equal to the standard error of M for all of the The standard error of M for all the possible samples of 100 is possible samples of 25. You can predict the size of sample size of 25 because of the the standard error of M for a sample size of 100 relative to a If you were interested in how much time children spend reading on weekdays among this population of 2,431 children, would you actually compile all possible samples of a certain size? O No O YesExplanation / Answer
The difference between M and Mu is due to the -1.1 minutes
this distribution is "sampling distribution of sample mean "
The mean of this distribution, i.e., the mean of all the sampl means (when n = 25), is the expected value of M and will be equal to population mean = 11.3
The SD of distribution is called the SE of M and will be equal to SD / sqrt(n) = 19.64/sqrt(25) = 3.928
The mean of this distribution, i.e., the mean of all the sampl means (when n = 100), is the expected value of M and will be equal to population mean = 11.3
The SD of distribution is called the SE of M and will be equal to SD / sqrt(n) = 19.64/sqrt(100) = 1.964
The SE of M for all possible sample of 100 is less than the SE of M for all of the possible samples of 25, .........because of the sample size increase
Correct Answer: Yes
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.