7. (10 points). Area under the curve. Identify what percentage of the distribution should be found...

Transcribed Image Text:

7. (10 points). Area under the curve. Identify what percentage of the distribution should be found under the curve using the below information. Although not graded, it may be helpful to draw the corresponding normal distribution where that percentage is located (either here if you know how or on a piece of scrap paper for your own reference). An example is provide below. Example: What percentage of the distribution would we expect to fall between the Z-score for the value of 426 from the original distribution and a Z-score of 0? The Z-score associated with 1,416 is -1.25. We would expect 39.44% of the distribution to fall between the Z-scores of -1.25 and 0. a. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and a 2- score of 0? -3 -2-1.251 0 1 2 3 -3020-01 | Parkin | Seattle University 4 -3 -2 0 1 2 3 b. What percentage of the distribution would we expect to fall between the Z-score for the value of 603 from the original distribution and a Z- score of 0? c. What percentage of the distribution would we expect to fall between the Z-score for the value of 543 and the rest of the distribution to the right of that value? d. What percentage of the distribution would we expect to fall between the Z-score for the value of 582 and the rest of the distribution to the right of that value? -3 -2 0 1 2 3 -3 -2 0 1 2 3 -3 -2 0 1 2 3 e. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and the Z- score for the value of 680 from the original distribution? -3 -2 -1 0 1 2 3 7. (10 points). Area under the curve. Identify what percentage of the distribution should be found under the curve using the below information. Although not graded, it may be helpful to draw the corresponding normal distribution where that percentage is located (either here if you know how or on a piece of scrap paper for your own reference). An example is provide below. Example: What percentage of the distribution would we expect to fall between the Z-score for the value of 426 from the original distribution and a Z-score of 0? The Z-score associated with 1,416 is -1.25. We would expect 39.44% of the distribution to fall between the Z-scores of -1.25 and 0. a. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and a 2- score of 0? -3 -2-1.251 0 1 2 3 -3020-01 | Parkin | Seattle University 4 -3 -2 0 1 2 3 b. What percentage of the distribution would we expect to fall between the Z-score for the value of 603 from the original distribution and a Z- score of 0? c. What percentage of the distribution would we expect to fall between the Z-score for the value of 543 and the rest of the distribution to the right of that value? d. What percentage of the distribution would we expect to fall between the Z-score for the value of 582 and the rest of the distribution to the right of that value? -3 -2 0 1 2 3 -3 -2 0 1 2 3 -3 -2 0 1 2 3 e. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and the Z- score for the value of 680 from the original distribution? -3 -2 -1 0 1 2 3