Knowee
Questions
Features
Study Tools

The year Ivan graduated college, he got a job as an entry-level software engineer working for a firm in the United States. His starting salary was $72,000. For the year Ivan graduated, the starting salaries of all entry-level software engineers in the United States had a mean of $79,000 and a standard deviation of $2400.(a)Find the z-score of Ivan's starting salary relative to the starting salaries among all the entry-level software engineers in the United States for the year Ivan graduated. Round your answer to two decimal places.=z(b)Fill in the blanks to interpret the z-score of Ivan's starting salary. Make sure to express your answer in terms of a positive number of standard deviations.Ivan's starting salary was standard deviations ▼(Choose one) the mean starting salary of all entry-level software engineers in the United States.

Question

The year Ivan graduated college, he got a job as an entry-level software engineer working for a firm in the United States. His starting salary was 72,000.FortheyearIvangraduated,thestartingsalariesofallentrylevelsoftwareengineersintheUnitedStateshadameanof72,000. For the year Ivan graduated, the starting salaries of all entry-level software engineers in the United States had a mean of 79,000 and a standard deviation of $2400.(a)Find the z-score of Ivan's starting salary relative to the starting salaries among all the entry-level software engineers in the United States for the year Ivan graduated. Round your answer to two decimal places.=z(b)Fill in the blanks to interpret the z-score of Ivan's starting salary. Make sure to express your answer in terms of a positive number of standard deviations.Ivan's starting salary was standard deviations ▼(Choose one) the mean starting salary of all entry-level software engineers in the United States.

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

(a) The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation. In this case, the value is Ivan's starting salary (72,000),themeanistheaveragestartingsalary(72,000), the mean is the average starting salary (79,000), and the standard deviation is $2400.

So, the calculation would be:

z = (Value - Mean) / Standard Deviation z = (72,00072,000 - 79,000) / 2400z=2400 z = -7000 / $2400 z = -2.92

So, the z-score of Ivan's starting salary is -2.92, rounded to two decimal places.

(b) The z-score of -2.92 means that Ivan's starting salary was 2.92 standard deviations below the mean starting salary of all entry-level software engineers in the United States.

This problem has been solved

Similar Questions

The year Deshaun graduated college, the starting salaries of all entry-level software engineers in the United States had a mean of $90,000 and a standard deviation of $3300. That year, Deshaun got a job as an entry-level software engineer working for a firm in the United States. His starting salary was $93,500.Find the z-score of Deshaun's starting salary relative to the starting salaries among all the entry-level software engineers in the United States for the year Deshaun graduated. Round your answer to two decimal places.

Charlie and Miguel each graduated from college last year and got entry-level positions. Last year, the distributions of entry-level salaries were clearly bell-shaped for nurses and for software engineers. That year, the entry-level salaries of nurses had a population mean of $71,000 and a standard deviation of $2700, and the entry-level salaries of software engineers had a population mean of $63,000 and a standard deviation of $2200.Last year, Charlie got an entry-level position as a nurse with a salary of $78,633, and Miguel got an entry-level position as a software engineer with a salary of $59,416.(a)Find the z-scores of Charlie's entry-level salary as a nurse and Miguel's entry-level salary as a software engineer. Round your answers to two decimal places.z-score of Charlie's salary: z-score of Miguel's salary: (b)Relative to his population, who got the higher salary?Choose the best answer based on the z-scores of the two salaries.CharlieMiguelIt is unclear who got the higher salary relative to his population

The mean annual starting salary for Polytechnic graduates in 2019 was $36,280. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300. What percent of the graduates have starting salaries: a) Between $35,000 and $40,000? b) More than $45,000? c) Between $40,000 and $45,000?

Goran is in his first semester at a university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score, which was 66. Among all the students in the course, the mean of the exam was 63 with a standard deviation of 7.Find the z-score of Goran's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places.=z

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000 What is the probability that a randomly selected individual with an MBA degree will get a starting salary greater than $30,000?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.