1. a researcher is interested in knowing about the number of hours ucf students sleep per night. in a survey of 400 ucf students, the average number of hours slept per night was 6.5 with a population standard deviation of 2 hours. a. create a 95% confidence interval for the true number of hours slept by ucf students?

(6.304, 6.696)  

Step-by-step explanation:

The confidence interval for population mean is given by :-

, where = Population standard deviation.

n= sample size

= Sample mean

z* = Critical z-value .

Let x denotes the number of  hours slept by UCF students.

Given :  

n= 400

Two-tailed critical value for 95% confidence interval =

Then, the 95%confidence interval for the true number of hours slept by UCF students will be :-

Hence, the 95% confidence interval for the true number of hours slept by UCF students : (6.304, 6.696)  

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