Question

In: Statistics and Probability

You just received a grant to study the motivation effects of pay level on employee performance....

You just received a grant to study the motivation effects of pay level on employee performance. Suppose you examine job performance scores for 630 employees, where a high score indicates good work performance. The results of your study determine the average performance score is 86, with a standard deviation of 11 points. Assuming a normal distribution, determine the percent and number of employees who:

a. What is the job performance score at the 29th percentile (6 pts)?

b. What is the job performance score at the 86th percentile (6 pts)?

Expert Solution

Given that,

mean = = 86

standard deviation = = 11

n = 630

= 86

= / n = 11/ 630 = 0.4383

a. The z-distribution of the 29% is,

P(Z < z) = 29%

= P(Z < z ) = 0.29

= P(Z < -0.553 ) = 0.29

z = -0.553

Using z-score formula

= z * +

= -0.553 * 0.4383 + 86

= 85.76

Answer :- 85.76

b. The z-distribution of the 86% is,

P(Z < z) = 86%

= P(Z < z ) = 0.86

= P(Z < 1.080 ) = 0.86

z = 1.080

Using z-score formula

= z * +

= 1.080 * 0.4383 + 86

= 86.47

Answer :- 86.47

orchestra answered 2 years ago

Discuss the contributions of economics to employee and management motivation and pay.

How organizational structure affects employee motivation, communication and performance in an organization?

Dr. Grant Wail, and ER doctor, just told you he received an offer to work at...

Dr. Grant Wail, and ER doctor, just told you he received an offer to work at a local hospital’s ER department. He is required to work 8 shifts per month. Each shift is 10 hours. All medical equipment and supplies are supplied by the hospital. He gets paid by the hospital $200/per hour regardless of how many patients he sees. For all patients assigned to Dr. Wail, he has complete autonomy to exercise his professional medical judgement over patient care...

Write a research proposal on a topic "Motivation impact on Employee Performance" outlining the following: 1....

Write a research proposal on a topic "Motivation impact on Employee Performance" outlining the following: 1. Research Question 2. Hypothesis 3. Literature Review (100 words) 4. Research Methodology (100 words) 5. Data Analysis (100 words) 6. Finding (50 words) 7. Conclusion (50 words)

You have just received a judgment in a product liability suit that will pay you $40,000...

You have just received a judgment in a product liability suit that will pay you $40,000 at the end of each of the next five years. Question: If you can earn interest at a rate of 8% compounded annually, what is the present value of this judgment? Time Value of Money Tables link (will open in a new window) Select one: a. $ 234,664 b. $ 18,528 c. $ 159,708 d. $ 200,000 e. $ 58,773

Let's assume you just received a check out of nowhere that is enough to pay the...

Let's assume you just received a check out of nowhere that is enough to pay the downpayment and closing costs for a house. Assuming your career as a Financial Analyst for a bank earned $75,350 in 2010 and has increased at the rate of inflation. All calculations must be done in Excel, input each number only once, in other words, use Excel functions and formulas and let Excel do the math. Assuming an average inflation rate of 1.5%, what is...

In regards to human motivation and improving employee performance, write summary sentences for Self- efficacy, mastery...

In regards to human motivation and improving employee performance, write summary sentences for Self- efficacy, mastery beliefs and learned helplessness.

You have been asked to study the effects of an employee-wide training program, in a company...

You have been asked to study the effects of an employee-wide training program, in a company of 500 employees, designed to reduce the amount of customer complaints. Describe how you would carry out the study, including the variable or variables you would collect, how you would measure those variables, and what would indicate success.

How do you think an engineering manager should make an employee aware that their performance is not at the level expected?

How do you think an engineering manager should make an employee aware that their performance is not at the level expected? Do you feel you should have a different approach for your technical/professional employees than you have for other employees?Is there such a thing as "positive criticism"? Give an example to support your answer.How does the application of the "golden rule" relate to the concept of respect? Be specific.Write a "code of personal ethics" which you feel you should follow.Look...

A homeless, 59- year-old man, Hugh Grant (just for the purposes of the case study), presented...

A homeless, 59- year-old man, Hugh Grant (just for the purposes of the case study), presented to the emergency room complaining of fever and chills of 4 days’ duration, with dizziness over the last 24 hours. He also complained of intermittent diarrhea and constipation over the past 6 months with occasional bloody stool. He told the physician that he ate what he could due to his circumstances. The patient’s breathing was rapid, but his lung sounds were clear. His temperature...