Question

A group of statistics students conducted a random sample of 64 students at their college. Their findings showed that the sampled students studied an average of 15 hours per week with a standard deviation of 5 hours. What is the value for the Standard Error of the Means?

Answer 1

0.8333

Explanation:

Given that a group of statistics students conducted a random sample of 64 students at their college.

Their findings showed that the sampled students studied an average of 15 hours per week with a standard deviation of 5 hours

i.e we have

sample size =
`n=64`

Standard deviation of sample s =
`5`

By central limit theorem we have sample mean will follow a normal distribution with mean = sample mean and std error = std deviation /square root of n.

Substitute the values to get

Standard error of means =
`(5)/(√(64) ) \\=0.8333`