7. Which basketball player is the Greatest Of All Time? Use z-scores to answer this question, using the statistics below. Standardized: Who Was the Best? Show all z-score calculations below: Wilt - 60's Jordan - 90's LeBron - 2010's 100 BULLS 22 Cavaliers 30.1 ppg 30.1 ppg 27.1 ppg Mean (µ) ppg in their era: 10.8 ppg 8.7 ppg 8.4 ppg Stdv (?) ppg in their era: 7.0 ppg 5.9 ppg 5.5 ppg Z-Score: (show work)
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To calculate the z-score, we use the formula: z = (x - μ) / σ where: - z is the z-score - x is the value we want to standardize - μ is the mean of the data - σ is the standard deviation of the data For Wilt in the 60's: z_wilt = (30.1 - 30.1) / 8.4 = 0 For Show more…
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Fans of basketball often argue about who was the greatest player of all time -- Wilt Chamberlain (1960s), Michael Jordan (1990s), or LeBron James (2010s). The table below shows some data about these players along with the mean and standard deviation in points per game for their era. The first three rows (Shots, %, and Points) are about the individual player; the last two rows (Mean, Standard) are statistics for all players in that player's era. | | Wilt | Michael | LeBron | |---|---|---|---| | Shots per game | 22.5 | 22.90 | 19.6 | | % shots made | 54.0% | 49.7% | 50.4% | | Points per game | 30.1 | 30.1 | 27.1 | | Mean points per game | 10.8 | 8.7 | 8.4 | | Standard deviation points per game | 7.0 | 5.9 | 5.5 |
Adi S.
2. Many people think Michael Jordan is the greatest basketball player of all time, with a career scoring average of 30.1 points per game. Some curious statistics students wondered about his scoring average for all his home games. They decided to take a random sample of 15 home games from Michael Jordan's career. Here is the number of points he scored in each of these games: 35 24 29 31 25 28 35 32 36 31 29 26 32 38 27 Construct and interpret a 95% confidence interval for the mean number of points that Michael Jordan scored in all of his home games.
Supreeta N.
NBA Records. The three highest one-game point totals by one player in a National Basketball Association game are shown below. Solve the following system to find $x, y,$ and $z$ $$ \left\{\begin{array}{l} x+y+z=259 \\ x-y=19 \\ x-z=22 \end{array}\right. $$ $$ \begin{array}{|c|l|c|} \hline \text { Pts } & \text { Player, team } & \text { Date } \\ \hline x & \text { Wilt Chamberlain, Philadelphia } & 3 / 2 / 1962 \\ y & \text { Kobe Bryant, Los Angeles } & 1 / 22 / 2006 \\ z & \text { Wilt Chamberlain, Philadelphia } & 12 / 8 / 1961 \\ \hline \end{array} $$
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