Question

Whether the provided statement is true or false.

Sampling distributions
ANSWERED
asked 2021-02-12
Whether the provided statement is true or false.

Answers (1)

2021-02-13

Given:
The provided statement is, “As sample size increases, the sampling distribution of \(\overline{x}\) becomes more and more skewed.”
The central limit theorem is one of the important concepts of the large sample theory. It can be stated, “If the size of a sample increases, the population mean can be approximated by the sample mean and the population standard deviation becomes approximately equal to the ratio of the sample standard deviation and the square root of the sample size.”
In other words,central limit theorem, for a sufficiently large sample size, the sampling distributions of the mean tend to be normal distribution, irrespective of the distribution of the population.
Therefore, as sample size increases the sampling distribution of \(\overline{x}\) becomes less and less skewed. Hence, the provided statements are false.

0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-07-03
A college student makes the following statement: If I receive an A in both Calculus I and Discrete Mathematics this semester, then I’ll take eitherCalculus II or Computer Programming this summer. For each of the following, determine whether this statement is true or false. (a) The student doesn’t get an A in Calculus I but decides to take Calculus II this summer anyway. (b) The student gets an A in both Calculus I and Discrete Mathematics but decides not to take any class this summer. (c) The student does not get an A in Calculus I and decides not to take Calculus II but takes ComputerProgramming this summer. (d) The student gets an A in both Calculus I and Discrete Mathematics and decides to take both Calculus II and Computer Programming this summer. (e) The student gets an A in neither Calculus I nor Discrete Mathematics and takes neither Calculus II norComputer Programming this summer.
asked 2021-05-12
determine whether the statement is true or false. Justify your answer. When your attempt to find the limit of a rational function yields the indeterminate form 0/0, the rational function’s numerator and denominator have a common factor.
asked 2021-05-13
determine whether the statement is true or false. Justify your answer. When your attempt to find the limit of a rational function yields the indeterminate form 0/0, the rational function’s numerator and denominator have a common factor.
asked 2021-06-28
Determine whether the statement is true or false. Justify your answer. When using Gaussian elimination to solve a system of linear equations, you may conclude that the system is inconsistent before you complete the process of rewriting the augmented matrix in row-echelon form.
...