Question

In: Statistics and Probability

Suppose the test scores for a college entrance exam are normally distributed with a mean of...

Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100.
a. What is the probability that a student scores between 350 and 550?

b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

c. Find the 60th percentile of the test scores.

d. Find the middle 30% of the test scores.

Solutions

Expert Solution

a) Let X denotes score of a randomly selected student for a college entrance exam.

Here,

X ~ Normal(450, 1002)

a) The probability that a student scores between 350 and 550

b)

c)

d)


Related Solutions

Suppose scores on a college entrance exam are normally distributed with a mean of 550 and...
Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the score that marks the cut-off for the top 16% of the scores. Round to two decimal places. Question 5 options: 450.55 649.45 462.89 508.34 Question 6 (1 point) Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the cut-off scores that define the middle...
Suppose the scores of students on an exam are normally distributed with a mean of 340...
Suppose the scores of students on an exam are normally distributed with a mean of 340 and a standard deviation of 57. Then according to the Empirical Rule approximately 99.7 of the exam scores lie between the integers    and    .
Suppose that scores on a test are normally distributed with a mean of 80 and a...
Suppose that scores on a test are normally distributed with a mean of 80 and a standard deviation of 8. Which of the following questions below are of type B? a. Find the 80th percentile. b. Find the cutoff for the A grade if the top 10% get an A. c. Find the percentage scoring more than 90. d. Find the score that separates the bottom 30% from the top 70%. e. Find the probability that a randomly selected student...
Suppose that scores on a test are normally distributed with a mean of 80 and a...
Suppose that scores on a test are normally distributed with a mean of 80 and a standard deviation of 8. Determine the score that would be considered the first/lower quartile (??)
The ACT is a college entrance exam. ACT test scores follow a normal distribution with a...
The ACT is a college entrance exam. ACT test scores follow a normal distribution with a mean of 22.2 points and a standard deviation of 4.9 points. Let X = number of points scored on the ACT. Answer the following questions. A. Jasmine scored a 28.227 on the ACT. Calculate Jasmine's Z-score. B. Interpret Jasmine's z-score in terms of the problem. C. What is the probability that a randomly selected individual gets an ACT score that is lower than Jasmine's?...
Suppose that student scores on creativity test are normally distributed. The mean of the test is...
Suppose that student scores on creativity test are normally distributed. The mean of the test is 150 and the standard deviation is 23. Using a z-table (normal curve table), what percentage of students have z-scores a) below 1.63 b) above -0.41 Using a z-table, what scores would be the top and bottom raw score to find the c) middle 50% of students d) middle 10% of students Using a z-table, what is the minimum raw score a student can have...
Suppose that scores on a particular test are normally distributed with a mean of 140 and...
Suppose that scores on a particular test are normally distributed with a mean of 140 and a standard deviation of 16. What is the minimum score needed to be in the top 20% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.
Suppose that the scores on a statewide standardized test are normally distributed with a mean of...
Suppose that the scores on a statewide standardized test are normally distributed with a mean of 75 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 73 and 77. % (b) above 79. % (c) below 73. % (d) between 69 and 79. %
The scores on an anthropology exam are normally distributed with a mean of 76 and a...
The scores on an anthropology exam are normally distributed with a mean of 76 and a standard deviation of 5. Show your work step by step to receive full credit. 1) (6 points) The failing grade is anything 2.5 or more standard deviations below the mean. What is the cutoff for a failing score? 2) (6 points) If 3000 students took the exam, how many students failed? 3) (6 points) If 3000 students took the exam and the cutoff for...
Suppose that student scores on math skills test are normally distributed. The mean of the test...
Suppose that student scores on math skills test are normally distributed. The mean of the test is 35 and the standard deviation is 4. Using a z-table (normal curve table), what percentage of students have z-scores a) below 2.05 b) above -0.50 Using a z-table, what scores would be the top and bottom score to find the c) middle 15% of students d) middle 25% of students Using a z-table, what is the minimum raw score a student can have...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT