Exercise 2
The scores on the entrance exam at an exclusive university in Bellevue are normally distributed with a mean score of 150 and a standard deviation equals to 40.
Sketch the distribution of the scores (you can draw it manually), find the probability and show your calculations, that a randomly selected applicant has a score:
a. Under 100 b. Under 50 c. Over 180
d. Between 110 and 200
e. Within 1.5 standard deviations of the mean
f. What is the score that 10% of the applicants have lower than it?
g. At what value should the lowest passing score be set if the university wishes only 25% of those taking the test to pass?
Exercise 2 The scores on the entrance exam at an exclusive university in Bellevue are normally...
The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 114 and a standard deviation equal to 76. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass?
The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 130 and a standard deviation equal to 53. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass? (Round your answer to nearest whole number.) Set lowest passing score to: ?
The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 250 and a standard deviation equal to 89. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass? (Round your answer to nearest whole number.)
Question 2. Suppose the scores on a college entrance examination are normally distributed with a mean of 550 and a standard deviation of 100. a) Find the probability that an individual scores below 400. b) Find the probability that an individual scores 650 or higher. c) A certain prestigious university will consider for admission only those applicants whose scores exceed the 93th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for...
Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 69.3 and a standard deviation of 29.45. (a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to one decimal place.) % (b) At what score was the rate of change of the probability density function for the scores a maximum?
Scores on a 100-point final exam administered to all...
In order to be accepted into a top-level university, applicants must score within the top 10% on an entrance exam. Given that scores on the exam have an approximate normal distribution with a mean of 75 and a standard deviation of 11, what is the lowest possible score (rounded to the closest integer) a student needs in order to qualify for acceptance into this university?
QUESTION 23 Suppose a certain college has its own entrance exam, and scores on this exam follow a normal distribution with mean 150 and standard deviation 20. Bob's original score was 130. What percentage of the students taking this exam had scores that fell above Bob's scores? O 1.16% 2.93% 3.84% 4. Not enough information to tell.
All applicants to medical school are required to take an entrance exam. Historically, scores on the exam are known to be normally distributed with mean 99 and standard deviation 8. This year, we observe that a sample of 16 applicants obtains an average score of 97.92. Does this provide evidence that the average of all this year's applicants is less than 99? To answer this question, we do a hypothesis test using a significance level of 0.01. Check all of...
All applicants to medical school are required to take an entrance exam. Historically, scores on the exam are known to be normally distributed with mean 62 and standard deviation 8. This year, we observe that a sample of 17 applicants obtains an average score of 59.91. Does this provide evidence that the average of all this year's applicants is different from 62? To answer this question, we do a hypothesis test using a significance level of 0.01. Check all of...
7. Scores on a recent national Mathematics exam were normally distributed with a mean of 82 and a standard deviation of 7. A. What is the probability that a randomly selected exam score is less than 70 B. What is the probability that a randomly selected exam score is greater than 90? C. If the top 2.5% of test scores receive Merit awards, what is the lowest score necessary to receive a merit award?