2. At one university, the students are given z-scores at the end of each semester rather than the traditional GPAs. The mean and standard deviation of all students' cumulative GPAS, on which the z- scores are based, are 2.7 and .5, respectively. a. Translate each of the following z-scores to corresponding GPA: i. z=2.0 ii. Z=-1.0 b. Students with z-scores below -1.6 are put on probation. What is the corresponding probationary GPA? c. The president of the university wished to graduate the top 2.5% with summa cum laude honors. i. Where approximately should the limits be set in terms of z-scores? In terms of GPAS? ii. What assumptions if any did you make about the distribution of the GPAs of the university?

2. At one university, the students are given z-scores at the end of each semester rather than the traditional GPAs. The mean and standard deviation of all students' cumulative GPAS, on which the z- scores are based, are 2.7 and .5, respectively. a. Translate each of the following z-scores to corresponding GPA: i. z=2.0 ii. Z=-1.0 b. Students with z-scores below -1.6 are put on probation. What is the corresponding probationary GPA? c. The president of the university wished to graduate the top 2.5% with summa cum laude honors. i. Where approximately should the limits be set in terms of z-scores? In terms of GPAS? ii. What assumptions if any did you make about the distribution of the GPAs of the university?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

1. Suppose the prices of used cars in the market are normally distributed with a mean of $15,000 and a standard deviation of $7,5000. What is the probability of selecting a car from this market and its priced above $20,000.
please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly
Two identically able agents are competing for a promotion. The promotion is awarded on the basis of output (whomever has the highest output, gets the promotion). Because there are only two workers competing for one prize, the losing prize=0 and the winning prize =P. The output for each agent is equal to his or her effort level times a productivity parameter (d). (i.e. Q2=dE1 , Q2=dE2). If the distribution of “relative luck” is uniform, the probability of winning the promotion for agent 1 will be a function of his effort (E1) and the effort level of Agent 2 (E2). The formula is given by...Prob(win)=0.5 + α(E1-E2), where α is a parameter that reflects uncertainty and errors in measurement. High measurement errors are associated with small values of α (think about this: if there are high measurement errors, then the level of an agent’s effort will have a smaller effect on his/her chances of winning). Using this information, please answer the following questions. Both workers have a…
The average marks on an Economics Assignment is 55%, with a standard deviation of 5%. The Examiners note that the distribution of the marks is normal. A. Define 'Normal Distribution' including key properties and illustrate with a diagram. What is the proportion of frequencies below 35%? What is the proportion of frequencies above 80%? What is the proportion of marks between 40% and 70% ?
M3
Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 123. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 123 is (Type an integer or decimal rounded to four decimal places as needed.) C
An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10% of the test grades. To the nearest percent, what is the dividing point between an A and a B grade?
The average team in the NBA will score 112 points per game with a standard deviation of 8 points. What percent of teams will score between 120 and 132 points in a game?
Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. What is the probability that exactly one of these vehicles will require warranty service?
a) What is the logic of probability sampling? b) c) V. Distinguish between broad objective and specific objective. Write brief notes on each of the following, giving appropriate examples: Simple random sampling ii. Systematic sampling iii. Sampling frame iv. Variable Parameter
7. The amount spent by a customer on a Summer Cruise has a normal distribution with a mean of $95.60 and a standard deviation of $5. a) Calculate the probability that a randomly selected customer spends less than $95. b) The probability that customers spend more than x dollars is 0.2810. Find the value of r.