Question

In: Statistics and Probability

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.

Solutions

Expert Solution


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...
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,...
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of...
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Board ATP). If a sample of 35 students are selected randomly, find the probability that the sample mean is above 470. A.) 0.244 B.) 0.9756 C.) 0.0445 D.) 0.0244
Assume that SAT scores are normally distributed with a mean of 1000 and a standard deviation...
Assume that SAT scores are normally distributed with a mean of 1000 and a standard deviation of 150. Use this information to answer the following questions. Round final answers to the nearest whole number. What is the lowest SAT score that can be in the top 10% of testers? What is the highest SAT score that can be in the bottom 5% of testers? Between which two SAT scores do the middle 50% of testers lie?
SAT scores normal distributed mean 985 and standard deviation of 169. AMT scores are normally distributed...
SAT scores normal distributed mean 985 and standard deviation of 169. AMT scores are normally distributed with a mean of 24.6 and a standard deviation of 3.5. It is assumed that the two tests measure thw same aptitude bit use different scales. a). if a student is 46-percentile in SAT, find the actual SAT score. b). what would be the equivalent AMT score? c). if a student gets SAT score of 1220, find the equivalent AMT score.
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:...
If SAT scores are normally distributed with mean 525 and standard deviation 90. Find the probability...
If SAT scores are normally distributed with mean 525 and standard deviation 90. Find the probability that a randomly selected SAT score is greater than 550.
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%?
The SAT scores for students are normally distributed with a mean of 1000 and a standard...
The SAT scores for students are normally distributed with a mean of 1000 and a standard deviation of 200. What is the probability that a sample of 45 students will have an average score between 970 and 1010? Round your answer to 3 decimal places.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT