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A study on salaries of recent graduates from a certain college are normally distributed with mean...

A study on salaries of recent graduates from a certain college are normally distributed with mean and standard deviation . Use the information to answer questions #1-6. You may use manual, technology, or table for computation, but you need to show work to justify your computation.
1. Suppose your starting salary is $55,000.
a. determine the z-score
b. interpret your z-score in terms of percentile (ranking) in the context of the population.
2. Find proportion for which the salary of recent graduates is between $35,000 and $50,000.
3. Which salary is the 98th percentile of recent graduates? In other words, which salary is the top
2% of the salaries of recent graduates?
4. What is the probability that a randomly chosen recent graduate has a salary greater than
$60,000?
5. Which salary has a z-score of 1.75?
6. Which salary has a z-score of -0.96?


The mean is $42,650 and Standard deviation is $3800
math   Statistics-And-Probability   
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Answer #1

Answers

1.a 3.25 b) 99.94

2. 0.951

3. 50440

4. 0

5. 49300

6. 39002

Find Z-table and solutions attached

Sorry, but Chegg policy for multiple asked question/subparts is to only answer first four. Still, I have answered all the questions. If any doubt please feel free to ask through the comments section and if no doubt please give a like. Thank You

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