Answer:
a)
z = -0.71
b)
z = 0.42
Step-by-step explanation:
Z score is the number of standard deviations by which a value is above or below the mean score of the observed population. Values above the mean have positive Z scores, while those below the mean have negative Z scores.
The Z score is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
a)
Given that:
For accounting: mean (μ) = 46,000 standard deviation (σ) = 1400
Since the accounting major has an offer for $45,000 per year
[tex]z=\frac{x-\mu}{\sigma}=\frac{45000-46000}{1400}=-0.71[/tex]
b)
Given that:
For Marketing: mean (μ) = 42,500 standard deviation (σ) = 1200
Since the marketing student has an offer for $43,000 per year
[tex]z=\frac{x-\mu}{\sigma}=\frac{43000-42500}{1200}=0.42[/tex]
