Create a T Score with a mean of 50 and a standard deviation of 10on the raw scores (Score) that ten students achieved on a measureof intelligence:Student 1: 116Student 6: 108Student 2: 103Student 7: 105Student 3: 112Student 8: 88Student 4: 98Student 9: 109Student 5: 114Student 10: 104What do you conclude about the three distributions?They are the same in skewness but different in kurtosis.O They are the same in kurtosis but skewed differently.Two are the same in skewness but different in kurtosis.Two are the same in kurtosis but skewed differently.All three have the same shape.O None are identical in any way.

Answered: Create a T Score with a mean of 50 and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Create a T Score with a mean of 50 and a standard deviation of 10
on the raw scores (Score) that ten students achieved on a measure
of intelligence:
Student 1: 116
Student 6: 108
Student 2: 103
Student 7: 105
Student 3: 112
Student 8: 88
Student 4: 98
Student 9: 109
Student 5: 114
Student 10: 104
What do you conclude about the three distributions?
They are the same in skewness but different in kurtosis.
O They are the same in kurtosis but skewed differently.
Two are the same in skewness but different in kurtosis.
Two are the same in kurtosis but skewed differently.
All three have the same shape.
O None are identical in any way.

Expert Solution

Step 1

A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. Z-scores range from -3 standard deviations and up to +3 standard deviations. If the value lies outside this limit, then the point is said to be an outlier. A T-score is similar to a Z- score. It also represents the number of standard deviation from the mean. The T-score has a greater value and returns results from between 0 to 100 (most scores will fall between 20 and 80).