Question

Suppose that Jason recently landed job offers at two companies. Company A reports an average salary of $51,500 with a standard deviation of $2,150. Company B reports an average salary of $46,820 with a standard deviation of $5,890. Assume that salaries at each company are normally distributed.
Jason's goal is to secure a position that pays $55,000 per year. What are the ‑scores for Jason's desired salary at Company A? Please round your answers to two decimal places.

Answer 1

The z-score for his salary at Company A is of Z = 1.63.

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• For a data-set with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

• At Company A, the mean is of $51,500, thus $\mu = 51500$
• The standard deviation is of $2,150, thus $\sigma = 2150$
• He wants a salary of $55,000, thus $X = 55000$.
• The z-score is of:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{55000 - 51500}{2150}$

$Z = 1.63$

A similar problem is given at brainly.com/question/23530266