Question

In: Statistics and Probability

A sample of 10 NCAA college basketball game scores provided the following data. &nbsp

A sample of 10 NCAA college basketball game scores provided the following data.

Winning

Winning Team Points Losing Team Points Margin

Arizona 90 Oregon 66 24

Duke 85 Georgetown 66 19

Florida State 75 Wake Forest 70 5

Kansas 78 Colorado 57 21

Kentucky 71 Notre Dame 63 8

Louisville 65 Tennessee 62 3

Oklahoma State 72 Texas 66 6

Purdute 76 Michigan State 70 6

Stanford 77 Southern Cal 67 10

Wisconsin 76 Illinois 56 20

a. Compute the mean and standard deviation for the points scored by the winning team.

b.Assume that the points scored by the winning teams for all NCAA games follow abell-shaped distribution. Using the mean and standard deviation found in part (a),estimate the percentage of all NCAA games in which the winning team scores 84 ormore points.Estimate the percentage of NCAA games in which the winning team scores more than 90 points.

c. Compute the mean and standard deviation for the winning margin. Do the data contain outliers? Explain

Make sure its done in Excel with the formulas

Expert Solution

ANSWER:

A sample of 10 NCAA college basketball game scores provided the following data.

A)

The mean of points scored by winning team is,

Standard Deviation of the points scored by the winning team,

The mean is = 76.5 and standard deviation = 6.652

B)

Assuming winning points follows bell staped distribution X Winning point.

mean and standard deviation,

Where

Now

12.98 % of winning team scores 84 or more

2.12 % of winning team scores 90or more

C)

Mean of margin (winning) =

Therefore, Mean of margin = 12.2

And Standard Deviation

=

orchestra answered 2 years ago

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