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.

11

step-by-step explanation:

32.50-7.50=25

225/25=11

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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