Accenture is in the process of short-listing candidates for the position of Administrative Manager, where there were a total of 150 applications received. These applicants were put in a series of tests including panel interviews in which each applicant’s general weighted score (GWS) was determined. The table hereunder represents the composite frequency distribution of the applicant’s GWS. CLASS LIMITS FREQUENCY (f) CLASS MARK (X") CLASS BOUNDARIES
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.
Accenture is in the process of short-listing candidates for the position of Administrative Manager, where there were a total of 150 applications received. These applicants were put in a series of tests including panel interviews in which each applicant’s general weighted score (GWS) was determined. The table hereunder represents the composite frequency distribution of the applicant’s GWS.
| CLASS LIMITS |
FREQUENCY (f) |
CLASS MARK (X") | CLASS BOUNDARIES | LESS THAN CUMULATIVE FREQUENCY | MORE THAN CUMULATIVE FREQUENCY |
| 53-63 | 16 | 58 |
52.5-63.5 |
16 | 150 |
| 64-74 | 22 | 69 | 63.5-74.5 | 38 | 134 |
| 75-85 | 45 | 80 | 74.5-85.5 | 83 | 112 |
| 86-96 | 38 | 91 | 85.5-96.5 | 121 | 67 |
| 97-107 | 24 | 102 | 96.5-107.5 | 145 | 29 |
| 108-119 | 5 | 113 | 107.8-118.5 | 150 | 5 |
| Total | 150 |
As a company policy, only those candidates who belong to the upper 55% but below the P80 are shortlisted (i.e. with respect to their GWS score), determine then –
a. Whether Candidate 1 is shortlisted given that his/her GWS is 98.5? Explain your answer.
b. Whether Candidate 2 is shortlisted given that his/her GWS is 108.5? Explain your answer.
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