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.
56 61 87 75 72 73
20 56 81 80 82 73
a. Develop a point estimate of mean fan rating for the population of NFL games (to 2 decimals). 68
b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).
Consider the following table:
56 | -12 | 144 | |
61 | -7 | 49 | |
87 | 19 | 361 | |
75 | 7 | 49 | |
72 | 4 | 16 | |
73 | 5 | 25 | |
20 | -48 | 2304 | |
56 | -12 | 144 | |
81 | 13 | 169 | |
80 | 12 | 144 | |
82 | 14 | 196 | |
73 | 5 | 25 | |
SUM | 816 | 3626 |
The sample mean is:
The sample standard deviation is:
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