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:Sample size should be atleast 55320Step-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 [tex]\sigma = 6 hrs[/tex]Std error = [tex]\frac{6}{\sqrt{n} }[/tex]Margin of error for 95%= [tex]1.96*\frac{6}{\sqrt{n} } <0.5\\\sqrt{n} >235.2\\n \geq 55319.04[/tex]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.