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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.

Respuesta :

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

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55000 - 51500}{2150}[/tex]

[tex]Z = 1.63[/tex]

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

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