Answer:
The average number of hours slept per night during the school year by these 150 college students is 7.3 hours.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean (μ) is:
[tex]CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}[/tex]
In this question we need to compute the average number of hours slept per night during the school year for these 150 college students.
To compute the value of the sample mean the formula is:
[tex]\bar x=\frac{UL+LL}{2}[/tex]
Th 95% confidence interval for estimating the average number of hours a college student sleeps per night during the school year is:
CI = (7.1 hours, 7.5 hours)
Compute the value of sample mean as follows:
[tex]\bar x=\frac{UL+LL}{2}[/tex]
[tex]=\frac{7.5+7.1}{2}[/tex]
[tex]=\frac{14.6}{2}[/tex]
[tex]=7.3[/tex]
Thus, the average number of hours slept per night during the school year by these 150 college students is 7.3 hours.
