Question

A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spent studying per week. Assuming a population standard deviation of six hours, what is the required sample size if the error should be less than a half hour with a 95% level of confidence?

Answer 1

Answer:

Sample size should be atleast 55320

Step-by-step explanation:

Given that a  group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spent studying per week.

population standard deviation $\sigma = 6 hrs$

Std error = $\frac{6}{\sqrt{n} }$

Margin of error for 95%

= $1.96*\frac{6}{\sqrt{n} } <0.5\\\sqrt{n} >235.2\\n \geq 55319.04$

Since sample size is number of items it cannot be indecimal.

So we can round off to the next high integer on a safer side.