Question

A population has a standard deviation of 5.5. What is the standard error of

the sampling distribution if the sample size is 49? Round your answer to two
decimal places.​

Answer 1

The standard error of the sampling distribution is
`\sigma_x = .79`.

Explanation:

We can find the standard error of the sampling distribution using this formula:

• 
  `\displaystyle \sigma_x = (\sigma)/(√(n) )`

The standard deviation of the sampling distribution, also known as the standard error, can be found by taking the population standard deviation and dividing it by the square root of the sample size, both of which we are given in the problem.

• 
  `\displaystyle \sigma_x = (5.5)/(√(49 )) = .7857`

Rounded to two decimal places:
`\sigma_x = .79`

The standard error of the sampling distribution if the sample size n = 49 and the population standard deviation σ = 5.5 is .79.