Question

O 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 86 75 72 73 19 57 79 79 82 75 a. Develop a point estimate of mean fan rating for the population of NFL games to 2 decimals). O b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals),

Answer 1

Solution:

we have a random sample of size n=12

Now consider the following table

Sr.No XA2 1 3721 7396 5625 72 5184 6 5329 361 00 3249 9 6241 75 5625 Total 815 58945

2 from above calculation table : n=12 Ex=815 ²x² = 58945 a) point estimate of mean fan rating for the population of NFL games is û = 8 Ex 67.9167 815 12 a-67.92 b) point estimate of the standard deviation for the population of NFL games is sc sample standard deviation) ô =s= <xi² ni? nel nel S (58945) 12167.9167)? 11 5358.6364 - 5o 32.0125 S 5358 = 1326.6239 18.0727 S = 18.0727