The following data show the number of hours per day 12 adults spent in front of screens watching television-related content. 1.8 4.7 4.1 5.2 7.6 7.3 5.7 3.2 5.4 1.9 2.7 8.1 a. Construct a 99 % confidence interval to estimate the average number of hours per day adults spend in front of screens watching television-related content.

99% Confidence interval:  (2.9,6.7)    

Step-by-step explanation:

We are given the following data set:

1.8, 4.7, 4.1, 5.2, 7.6, 7.3, 5.7, 3.2, 5.4, 1.9, 2.7, 8.1

Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences = 51.18

99% Confidence interval:  

Putting the values, we get,  

(2.9,6.7) is the required 99% confidence interval for average number of hours per day adults spend in front of screens watching television-related content.