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Suppose you run a basketball camp that attracts 900 players.
1. Suppose you run a basketball camp that attracts 900 players. You know that the number of free throws (out of 100) that your basketball players make is normally distributed with mean 76 and standard deviation 3. The percentage of players who make more than 75 free throws is about __________. Suppose that you assign players to teams at random, putting 9 players on every team. For each team, you add up the number of free throws made and divide by 9 to obtain the mean number of free throws made by the players on each team. You repeat that process for each of the 100 teams. The percentage of means that are more than 75 is about __________.
2. Suppose you administer a diet program to 400 dieters. You know that the average amount of weight lost is normally distributed with mean 8 pounds and standard deviation 2 pounds. The percentage of dieters who lose more than 10 pounds is __________. Suppose that you assign dieters to help-clusters at random, 4 dieters on every cluster. For each cluster, you obtaining the mean amount of weight lost by the members. You repeat that process for each of the 100 clusters. The percentage of means that are more than 10 is about __________.
3. The length of widgets is normally distributed with mean 90 cm and standard deviation 10 cm. What percentage of widgets is longer than 80 cm? _______________ A random sample of 4 widgets is put into a box; then another random sample of 4 widgets is put into another box; and so on until you have 25 boxes. For each box you compute the mean length of its widgets. Approximately what percentage of boxes have mean length greater than 80 cm?
**Pleaseee explain in detail, thanx!
