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The National Football League (NFL) polls fans to develop a rating for each football game. Each...

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 73 72
20 58 81 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).

2. A population has a mean of 400 and a standard deviation of 80. Suppose a sample of size 125 is selected and x^- is used to estimate u  . Use z-table.

  1. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

  2. What is the probability that the sample mean will be within +/- 15 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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