GRE math scores are normally distributed with a mean µ = 500 and standard deviation, ...

GRE math scores are normally distributed with a mean µ = 500 and standard deviation,  = 55. This year Howard University admitted 1500 graduate students.
Calculate:
a. the number of students with test scores above 520, below 490, between 482 & 522

b. how high a score is needed to be in the top 10%, top 5%?

Solutions

Expert Solution

(a)

Thus the number of students with test scores above 520 = 0.3594*1500 = 539.1 = 540

Thus the number of students with test scores below 490 = 0.4286*1500 =642.9 = 643

Thus the number of students with test scores between 482 & 522 = 0.2847*1500 = 427.05 = 428

(b)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Math SAT scores are known to be normally distributed with mean of 500 and standard deviation...

Math SAT scores are known to be normally distributed with mean of 500 and standard deviation of 100. Answer the following questions. (I also want to see good notation and some of your calculations.) a) Suppose we randomly select one person who has taken the SAT. What is the probability their math score is between 525 and 550? b) Suppose we randomly select 25 people who have taken the SAT. What is the probability their average math score is between...

1. SAT math scores are normally distributed with a mean 525 and a standard deviation of...

1. SAT math scores are normally distributed with a mean 525 and a standard deviation of 102. In order to qualify for a college you are interested in attending your SAT math score must be in the highest 9.34% of all SAT scores. What is the minimum score you need on the SAT to qualify for the college? 2. If you get into this college you are interested in running for the track team. To qualify for the track team...

Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation...

Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation of 140. An evening school advertises that it can improve students' scores by roughly a third of a standard deviation, or 30 points, if they attend a course which runs over several weeks. (A similar claim is made for attending a verbal SAT course.) The statistician for a consumer protection agency suspects that the courses are not effective. She views the situation as follows:...

Critical reading SAT reading scores is normally distributed with a mean 500 and a standard deviation...

Critical reading SAT reading scores is normally distributed with a mean 500 and a standard deviation of 100. a) Find the SAT score at the 75th percentile? b) Find the SAT score at the 25th percentile? c) What is the interquartile region? d) Harvard need a reading SAT score in the top 5%. Alice gets a 720 is she admitted? Explain.

Assume that adults have iq scores that are normally distributed with a mean of µ =100 and standard deviation of 20

Assume that adults have iq scores that are normally distributed with a mean of µ =100 and standard deviation of 20.find the probability that a randomly selected adult has an iq less than 128?

Suppose µ is the mean of a normally distributed population for which the standard deviation is...

Suppose µ is the mean of a normally distributed population for which the standard deviation is known to be 3.5. The hypotheses H0 : µ = 10 Ha : µ 6= 10 are to be tested using a random sample of size 25 from the population. The power of an 0.05 level test when µ = 12 is closest to

Suppose that SAT math scores are normally distributed with a mean of 516 and a standard...

Suppose that SAT math scores are normally distributed with a mean of 516 and a standard deviation of 115, while ACT math scores have a normal distribution with a mean of 22 and a standard deviation of 5. James scored 650 on the SAT math and Jacob scored 29 on the ACT math. Who did better in terms of the standardized z-score? Group of answer choices James Jacob They did relatively the same. Impossible to tell because of the scaling

3) Scores on the SAT are normally distributed with a mean of 500 and a standard...

3) Scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100 What is the probability of obtaining a score greater than 640? What is the probability of obtaining a score less than 390? What is the probability of obtaining a score between 725 and 800? What is the probability of obtaining a score either less than 375 or greater than 650? 4) If you obtained a score of 75 on an test,...

scores on the test are normally distributed with a mean of 76.4 and a standard deviation...

scores on the test are normally distributed with a mean of 76.4 and a standard deviation of 8.9. round answer nearest whole number. A. top 90% to 100% of scores b. scores below the top 90 % and above top 70% c. scores equal or below 70%and above the bottom 30% d. scores equal or below 30% snd above bottom 10%

The variable x is normally distributed with a mean of 500 and a standard deviation of...

The variable x is normally distributed with a mean of 500 and a standard deviation of 50. Find a) The 60th percentile. b)The 35th percentile. c)The x value which exceeds 80% of all x values. d)The x value that is exceeded by 80% of all x values.

Subjects