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?

Question

Mathematics

Charlie Allison

14 September, 20:56

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?

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Elias Hendricks · Answer 1

Step-by-step 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.