The president of a bank evaluates branch managers in three attributes: management skills, leadership ability and procedures knowledge. Let X be the score of an employee out of 100. Let w be the weight of each attribute. The table below shows the data for this employee. Attribute management skills leadership ability procedures knowledge W 72 54 9 7 83 4 Find the weighted mean score of this employee. A B 67.9 70.9 72.8 76.3 69.6 DE
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![19.
The president of a bank evaluates branch managers in three attributes: management skills,
leadership ability and procedures knowledge. Let X be the score of an employee out of 100. Let
w be the weight of each attribute. The table below shows the data for this employee.
X
72
Attribute
management skills
leadership ability
W
54
procedures
knowledge
83
Find the weighted mean score of this employee.
67.9
70.9
A
B
72.8
D
76.3
E
69.6
974](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb81a31de-5945-42f8-815c-b532818691a4%2Ff22fda53-5150-4129-a348-fe846a896c97%2Fozncfjb_processed.jpeg&w=3840&q=75)
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