**Using the information below. . . What is the Absolute Value of the Critical Value for the Coefficient of Skew to test the Assumption of Normality?
The Population Mean for daily high temperatures in Hawaii for the month of January is 80 degrees; however, the Population Standard Deviation is Unknown. A researcher tests whether mean January temperatures in Hawaii have been significantly higher over the last 9 years. The researcher calculates the mean temperature for the month of January for the years 2012 through 2020. The Sample Mean temperature for this 9-year period (sample) is 87 degrees. The researcher wants to maximize the Power of the Test. The data are presented below.
Subject |
January Temps |
1 |
96 |
2 |
90 |
3 |
90 |
4 |
89 |
5 |
87 |
6 |
87 |
7 |
86 |
8 |
84 |
9 |
74 |
Sum 783
Mean 87
N 9
Solution:
The formula for finding the coefficient of skewness is:
Where:
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