calculate the appropriate z scores.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Question
1. Suppose that two graduating seniors, one a marketing major and one an accounting major, are comparing job offers. The accounting major has an offer for $55,000 per year, and the marketing student has an offer for $53,000 per year. Summary information about the distribution of offers is given below.
Accounting: | = | 56,000 standard deviation | = | 1,200 | |
Marketing: | mean | = | 52,500 standard deviation | = | 800 |
Then calculate the appropriate z scores. (Round your answers to two decimal places.)
accounting z score =
=
55,000 − 56,000 |
1,200 |
(so $55,000 is standard deviations below the mean)
marketing z score =
=
53,000 − 52,500 |
800 |
Relative to the appropriate data sets, the marketing offer is actually more attractive than the accounting offer (although this may not offer much solace to the marketing major).
Why is one of the z scores positive and the other one negative?
Because the means are different.
Because the standard deviations are different.
Because one of the values is greater than the mean and the other is less than the mean.
Because the values being compared are different.
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