An employer is seeking an individual who is extroverted (personality characteris

Question

An employer is seeking an individual who is extroverted (personality characteristic). To ascertain candidates’ personality characteristic matches the job. The employer requests that all candidates take a personality test. The consulting firm hired by this employer to identify eligible employees based on personality characteristic want to showcase the services they offer as a result to identify the best employees for the job so they administer to candidates an intelligence test and a personality test.

Now, the employer has selected Mrs. Wonderqual and is reviewing the personality and intelligence data sent by the consulting firm.

Intelligence quotient (IQ) based on standard norms of the test used has a mean of 100 and a standard deviation of 15.

Extroversion based on standard norms of the test used has a mean of 50 and a standard deviation of 10.

Mrs. Wonderqual‘s scores are:

IQ score = 130

Extroversion score = 75

I.                   Post the following:

a.        Compute Mrs. Wonderqual z-score Please use your knowledge (hint: you need a formula)

b.      Based on the z-score you have obtained how would you answer the employer‘s question: Is Mrs. Wonderqual smarter than she is extroverted?

Explanation / Answer

1a. The formula for z score is: z = x – / , where x is the raw score, is the mean and is the standard deviation. The z score for IQ is therefore 2 and the z score for extraversion is 2.5.

1b. Because the z score for extraversion (2.5) is higher than the z score for IQ (2), it can be concluded that Mrs. Wonderqual is more extraverted than smart.

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