____ 3.- Every year the high school basketball team plays twenty games. For exam

Question

____ 3.- Every year the high school basketball team plays twenty games. For example last year, the average number of points scored per game by the basketball team was 33.1 (calculated out of the twenty games they played). According to the Central Limit Theorem, the distribution of the average number of points per game for the last thirty years would have:

Note: µ and refer to the mean and standard deviation of the distribution of the number of points scored per game for ALL the games played by the high school team over the years.

a. Mean=µ and Standard Deviation=

b. Mean=x_bar=33.1 and Standard Deviation=

c. Mean=µ and Standard Deviation=/sqrt(20).

d. Mean=µ and Standard Deviation=/sqrt(30).

Explanation / Answer

As per the central limit theorem, the average number of points per game for the last thirty years would have:

Mean = µ and Standard Deviation = /sqrt(30)

Option D is correct.

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