A sample of size n is selected at random from an infinite population. As n increases the standard error of the sample mean decreases.Group of answer choicesTrueFalse
Question
A sample of size n is selected at random from an infinite population. As n increases the standard error of the sample mean decreases.Group of answer choicesTrueFalse
Solution
The correct answer is "True". As the sample size (n) increases, the standard error of the sample mean decreases. This is because the standard error is calculated as the standard deviation divided by the square root of the sample size. So, as the sample size increases, the denominator of this fraction gets larger, which makes the overall fraction (the standard error) smaller
Similar Questions
As the sample size increases, theGroup of answer choicespopulation mean increasesstandard deviation of the population decreasesstandard error of the mean decreasesstandard error of the mean increases
s random sampling more likely to have a significant change in the gene pool of a large population or a small population?Group of answer choicesLargeSmall
The standard deviation of a sampled population is also called the standard error of the sample mean.Group of answer choicesTrueFalse
If random large samples of equal size are repeatedly drawn from any population, then the average of the mean of sample means will be approximately the same as the population mean.Question 9Select one:TrueFalse
According to the Central Limit Theorem, the sampling distribution of the sample mean becomes approximately normally distributed asthe standard error increasesthe population variance decreasesthe size of the population increasesthe number of samples drawn increasesthe size of the sample increases
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.