Question: A statistics professor gives a test and finds that the scores are normally distributed with a mean of 40 and a standard deviation of 10.

A statistics professor gives a test and finds that the scores are normally distributed with a mean of 40 and a standard deviation of 10. She plans to curve the scores.
a. If she curves by adding 35 to each grade, what is the new mean? What is the new standard deviation?
b. Is it fair to curve by adding 35 to each grade? Why or why not?
c. If the grades are curved so that grades of B are given to scores above the bottom 70% and below the top 10%, find the numerical limits for a grade of B.
d. Which method of curving the grades is fairer: Adding 35 to each original score or using a scheme like the one given in part (c)? Explain.

Step by Step Solution

★★★★★

3.56 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The new mean is equal to the old one plus the new points which is 75 The standard deviation is u... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

450-S-J-P-D (165).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

If freeway speeds are normally distributed with a mean of = 70 mph and = 7 mph, find the probability that the speed of a randomly chosen vehicle (a) Exceeds 78 mph; (b) Is between 65 and 75 mph;...

IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed...

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is an organization for people with high IQs, and eligibility requires an IQ above 131.5. a. If someone is...

Curving Test Scores A statistics professor gives a test and finds that the scores are normally distributed with a mean of 40 and a standard deviation of 10. She plans to curve the scores. a. If she...

29. Curving Test Scores A statistics professor gives a test and finds that the scores are normally distributed with a mean of 25 and a standard deviation of 5. She plans to curve the scores. a. If...

A statistics professor gives a test and finds that the scores are normally distributed with a mean of 25 and a standard deviation of 5. She plans to curve the scores. a. If she curves by adding 50 to...

Name: E number: Math 1530 section number Question 1 (2.85 points) Eggs that are contaminated with salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs...

ECMT1010 Online homework 5 Chapter 4, Section 3, Exercise 075 Chapter 4, Section 3, Exercise 075 Match the -values with the appropriate conclusion: (a) The evidence against the null hypothesis is...

Chapter 4, Section 3, Exercise 075 Match the -values with the appropriate conclusion: (a) The evidence against the null hypothesis is significant, but only at the level. 0.000130.62510.02190.0883 (b)...

In a certain town 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. 1. The proportion of households that own mutual funds but not...

A sample of fifth-grade classes was studied in an article. One of the variables collected was the class size in terms of student-to-faculty ratio. The student-to-faculty ratios of the 73 fifth-grade...

Dimeback, Inc. is obligated to pay its creditors $5,800 during the year. a. What is the market value of the shareholders equity if assets have a market value of $7,100? b. What if assets equal $5,200?

The state transfer tax on deeds is $ . 2 8 for each $ 1 0 0 of sales price; the county transfer tax is $ . 4 0 for each $ 2 0 0 of sales price. The sales price of a residence is $ 3 3 0 , 0 0 0 and...

Which quality process uses inspection as a tool or technique? A. Plan Quality Management B. Control Quality C. Perform Quality Assurance D. Perform Quality Inspection

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takers parents. A research hypothesis was that students...

Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the...

Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time (Associated Press, April 2, 2012). AirTran...

The Barb Akew is a famous local barbeque restaurant. It is examining whether it should buy a new kitchen. Its purchase price is $ 5 7 5 , 0 0 0 and will be depreciated straight line to a value of $ 2...

If a company has an unappealingly low market share of entry-level cameras sales in North America because it is being outcompeted by various rival companies, then company managers should increase the...

Beach Limited is a subsidary of Golden Limited . When Golden acquired its 70% interest in Beach , the retained earnings of Beach Limited were $40,000. At the beginning of the current period, Beach...