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

Answer:

$\sigma_x= 1.75\%$

Step-by-step explanation:

Given

$n = 64$

$\mu = 78\%$

$\sigma = 14\%$

Required

The sample standard deviation

This is calculated as:

$\sigma_x= \frac{\sigma}{\sqrt n}$

This gives:

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

$\sigma_x= \frac{14\%}{8}$

$\sigma_x= 1.75\%$