A simple random sample of size n=53 is obtained from a population with μ=53 and σ=7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x?

No, because the Central Limit Theorem posits that regardless of the shape of the underlying population, the sampling distribution of bar x becomes approximately normal as the sample size (n) increases.

The sampling distribution of x is;

Step-by-step explanation:

Given that:

The sample size n = 53

The population mean μ = 53

The standard deviation σ = 7

The sampling distribution of x is;

Sampling distribution of the standard deviation is:

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.