Homework SourseYou will investigate the normal probability curve the bell c
You will investigate the normal probability curve (the bell curve). Many variables, such as height and weight are “normally distributed.” This means, for example, that if you were to collect 10,000 female adult human heights, the histogram of that data would be shaped like a “bell” (with “most” of the data near the center or mean).
Use the following z table portion to assist you with answering the Discussion topics. There is a full z table in Doc Sharing.
Standard Scores and Percentiles for a Normal Distribution
(cumulative values from the left)
Standard Score
%
Standard Score
%
-3.0
0.13
0.1
53.98
-2.5
0.62
0.5
69.15
-2
2.28
0.9
81.59
-1.5
6.68
1
84.13
1
15.87
1.5
93.32
-0.9
18.41
2
97.72
-0.5
30.85
2.5
99.38
-0.1
46.02
3
99.87
0
50.00
3.5
99.98
Different university departments use different tests to compare student performance and to determine graduate admission status. Three such tests are the GMAT, the LSAT, and the GRE.
Question: Across the USA, results for these exams are normally distributed. What does that mean and why is this the case?
| You will investigate the normal probability curve (the bell curve). Many variables, such as height and weight are “normally distributed.” This means, for example, that if you were to collect 10,000 female adult human heights, the histogram of that data would be shaped like a “bell” (with “most” of the data near the center or mean). | |||||
| (cumulative values from the left) | |||||
| Standard Score | % | Standard Score | % | ||
| -3.0 | 0.13 | 0.1 | 53.98 | ||
| -2.5 | 0.62 | 0.5 | 69.15 | ||
| -2 | 2.28 | 0.9 | 81.59 | ||
| -1.5 | 6.68 | 1 | 84.13 | ||
| 1 | 15.87 | 1.5 | 93.32 | ||
| -0.9 | 18.41 | 2 | 97.72 | ||
| -0.5 | 30.85 | 2.5 | 99.38 | ||
| -0.1 | 46.02 | 3 | 99.87 | ||
| 0 | 50.00 | 3.5 | 99.98 |
Solution
