Question

The National Football League (NFL) polls fans to develop a rating for each football game. Each game is rated on a scale from 0 (forgettable) to 100 (memorable). The fan ratings for a random sample of 12 games follow. 58 61 86 73 73 72 21 57 80 80 83 73 a. Develop a point estimate of mean fan rating for the population of NFL games (to 2 decimals). b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).

Answer 1

Solution:-

X	( X – M)	( X – M )^2
58	-10.08	101.606
61	-7.08	50.126
86	17.92	321.126
73	4.92	24.206
73	4.92	24.206
72	3.92	15.366
21	-47.08	2216.526
57	-11.08	122.323
80	11.92	142.086
80	11.92	142.086
83	14.92	222.606
73	4.92	24.206
817		3406.469

1. Sample mean = X / n = 817 / 12 = 68.08
2. To find standard deviation we use the following formula