The national football league (nfl) polls fans to develop a rating for each football game (nfl website, october 24, 2012). 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 74 72 73 20 57 80 79 83 74 a. develop a point estimate of mean fan rating for the population of nfl games. b. develop a point estimate of the standard deviation for the population of nfl games.

 a:  68.08

 b:  5.3065

Step-by-step explanation:

The point estimate is a single value.  The point estimate for the mean is the mean of the sample.  In this case, the mean is the sum of the values divided by the total number of values.  The point estimate is the standard deviation of the sample.  The standard deviation is the square root of the variance.  

See the attached photo for the calculations of these values.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

the answer is d

hope this