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Show all your calculations, including anything you plug into a calculator. If you use an app, please
include a screenshot and explain how the screenshot answers the question. Answers should be
given in the context of the situation.
Scenario:
Entry level jobs at Starbucks in California are normally distributed and have a mean salary of $
16.93 an hour with a standard deviation of $ 0.62 Entry level jobs at Target in California are
normally distributed and have a mean salary $ 17.54 an hour with a standard deviation of $ 0.16.
Please use this information to answer the questions below.
1. What is the z-score for a salary of $ 17.65 at Target
2. If you randomly choose a California resident who has an entry level job at Target, what is the
probability that they have a salary of $ 17.79 an hour or less?
3. If you randomly choose a California resident who has an entry level job at Starbucks, what is the
minimum salary they can have and still earn more than 66 % of the other entry level
employees?
4. What proportion of Starbucks employees earn between $15.98 and $ 17.57 per hour?
5. Chris wants to earn in the top 10% of all employees at one of these two retailers. At which
retailer would Chris earn more per hour? Justify your answer using a statistical analysis.
Sagot :
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