Question

A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year. After randomly sampling 150 college​ students, the research organization determined the following​ 95% confidence​ interval: (7.1,7.5)​ hours/night. What is the value of the average number of hours slept per night during the school year for these 150 college​ students?

Answer 1

Explanation:

Given given that

• Lower confidence interval = 7.1

• Upper confidence interval = 7.5

• As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night

Average value = LCI + UCI /2 = 7.1 + 7.5 / 2

= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.