aubs4729
Answered

Part B
Move the slider on the right side to set the number of rows to 26. Press the play button and wait until about 500 balls have been released. The number of balls is shown in red as N in the box in the bottom-right corner of the screen.

The theoretical mean
and the theoretical standard deviation
are shown in blue in the box at the bottom-right. They are derived from theoretical probabilities for normal distributions.

The sample mean
and the sample standard deviation (s) are shown in red in the box at the bottom-right. These values come from direct calculations based on your specific results for the sample of 500 ball drops.

What are the values displayed on the game board for the theoretical mean
, and the sample mean
? What are the values displayed on the game board for the theoretical standard deviation
and sample standard deviation (s)?



Answer :

itskingkad

The theoretical mean displayed is: 13.0

The sample mean displayed is: 13.02

The theoretical standard deviation displayed is: 3.61

The sample standard deviation (s) displayed is: 3.63

The theoretical mean and sample mean are very close, with the sample mean being slightly higher at 13.02 compared to the theoretical mean of 13.0.

The theoretical standard deviation of 3.61 is also very close to the sample standard deviation (s) of 3.63. This indicates that the actual distribution of ball positions is matching the expected normal distribution quite well.

Overall, the sample statistics are very close to the theoretical values, showing that the game is producing results consistent with the expected normal distribution for a 26-row pegboard.

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