In N = 25 games last season,the college basketball team averaged µ = 76 points with a standard deviation of σ = 6.In their final game of the season,the team scored 89 points.Based on this information,the number of points scored in the final game was ____.
A)a little above average
B)far above average
C)above average, but it is impossible to describe how much above average
D)impossible to determine because there is not enough information to compare last year with the average

Question

In N = 25 games last season,the college basketball team averaged µ = 76 points with a standard deviation of σ = 6.In their final game of the season,the team scored 89 points.Based on this information,the number of points scored in the final game was ____.​
A)a little above average​
B)​far above average
C)​above average, but it is impossible to describe how much above average
D)​impossible to determine because there is not enough information to compare last year with the average

Quizplus · Accepted Answer

Since the team's average score is 76 and their standard deviation is 6, we can use the one-sample z-test to determine how many standard deviations above the mean their final game score of 89 is.

z = (89-76)/6 = 2.17

This z-score corresponds to an area under the normal curve of 0.9850, which means that their final game score is far above average compared to their performance in the previous 25 games. Therefore, the correct answer is B, far above average.

In N = 25 Games Last Season,the College Basketball Team