What is the sum of r+s, when r = –14.1 and s = 18.3?
1 answer:
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Answer:
Norma performed best on the aptitude test and should be offered the job.
Step-by-step explanation:
We are given that three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4.
Now, to find which of the applicants should be offered the job, we have to find the z-score of each of the applicants, and the one who gets the highest z-score will get the job.
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean and
= standard deviation
Firstly, we will find the z-score for Tobias;
The z-score of 74.7 =
= = 1
Now, we will find the z-score for Norma;
The z-score of 351 =
= = 2.4
Now, we will find the z-score for Vincent;
The z-score of 7.38 =
= = 1.2
As we can clearly see that the z-score is highest for Norma which means that Norma performed best on the aptitude test and should be offered the job.