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. 57 61 87 74 72 73 19 56 81 79 83 75 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).

a. The estimate of  mean  fan rating for the population of NFL games=68.08

b. The estimate of standard deviation=18.8785

Step-by-step explanation:

Given

The fan ratings for a random sample of 12 games follow:

57, 61, 87,74,72,73,19,56,81,79,83 and 75

a.Mean =

Mean=

Mean= 68.08

b.                                    

11.08                                                122.7664

7.08                                                 50.1264

18.92                                                357.9664

5.92                                                 35.0464

3.92                                                  15.3664

4.92                                                  72.6192

49.08                                                2408.8464

12.08                                                 145.9264

12.92                                                  166.9264

10.92                                                  119.2464

14.92                                                   734.064

6.92                                                    47.8864

Standard deviation=

n=12

Standard deviation=

Standard deviation=

Standard deviation = 18.8785

The estimate of the standard deviation for the population of NFL games=18.8785

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,