Question

A scientific study was conducted to determine the hours of sleep that college students get per night. The college students surveyed slept an average of 7.8 hours per night. The margin of error of the survey was 0.5 hours. Construct a confidence interval for the average hours of sleep per night that college students get.

Answer 1

Solution :

Given that ,

$\bar x$ = 7.8

Margin of error = E = 0.5

A confidence interval for the average hours of sleep per night that college students is ,

$\bar x$ - E < $\mu$ < $\bar x$ + E

7.8 - 0.5 < $\mu$ < 7.8 + 0.5

7.3 < $\mu$ < 8.3

(7.3 , 8.3)