Question

Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent. What is the standard deviation of the sampling distribution of sample means?

Answer 1

`\sigma_x= 1.75\%`

Explanation:

Given

`n = 64`

`\mu = 78\%`

`\sigma = 14\%`

Required

The sample standard deviation

This is calculated as:

`\sigma_x= (\sigma)/(\sqrt n)`

This gives:

`\sigma_x= \frac{14\%}{\sqrt {64}}`

`\sigma_x= (14\%)/(8)`

`\sigma_x= 1.75\%`