Question

The population mean GPA of all CLU students is 3.15 and the population variance is .55. A sample of 50 students is collected. Use this information to answer the following five questions. What is the standard deviation of the sample mean

Answer 1

The standard deviation of the sample mean
`\mathbf{\sigma _x =0.1049}`

Explanation:

We are provided with just a question; so, we are going to do just that.

Given that:

The population Mean
`\mu` = 3.15

The population variance
`\sigma^2` = 0.55

The sample size n = 50

We can calculate the Standard deviation of the sample mean
`\sigma_x` by using the formula:

`\sigma _x = (\sigma)/(√(n))`

Recall that:

The population variance
`\sigma^2` = 0.55

So;
`\sigma= √(0.55)`

`\sigma=0.7416`

Then:
`\sigma _x = (0.7416)/(√(50))`

`\mathbf{\sigma _x =0.1049}`