Assume that the following is true: THe scale for theSAT is set so that the distribution of scores is approximately normal with mean = 500 and standard deviation = 100.
You think that you might need a tutor. You know of a tutoring service for students who score between 350 and 650 on the SAT. You think that you probably fit within their range. What is the probability that you will get an SAT score between 350 and 650?
= 500
= 100
To find P(350 < X < 650):
For X = 350:
Z = (350 - 500)/100
= - 1.50
By Technology, Cumulative Area Under Standard Normal Curve =
0.0668
For X = 650:
Z = (650 - 500)/100
= 1.50
By Technology, Cumulative Area Under Standard Normal Curve =
0.9332
So,
P(350 < X < 650) = 0.9332 - 0.0668 = 0.8664
So,
Answer is:
0.8664
Assume that the following is true: THe scale for theSAT is set so that the distribution...
The scores on the SAT verbal test in recent years follow approximately the normal distribution distribution. Students get a mean score of 517 with a standard deviation of 111. Use technology to answer these questions. a. What is the proportion of students scoring under 400 (4 decimal positions)? b. What is the proportion of students scoring between 400 and 5507 (4 decimal positions) c. What is the proportion of students scoring over 5507 (4 decimal positions) d. How high must...
The scores on the SAT verbal test in recent years follow approximately the normal distribution distribution. Students get a mean score of 533 with a standard deviation of 109. Use technology to answer these questions. a. What is the proportion of students scoring under 400 (4 decimal positions)? b. What is the proportion of students scoring between 400 and 550? (4 decimal positions) c. What is the proportion of students scoring over 550? (4 decimal positions) d. How high must...
CT scores are reported on a scale from 1 to 36. The distribution of ACT (S-AQ 3.59) There are two major tests of readiness for college: the ACT and the SAT. A scores in recent years has been roughly s = 209 Normal with mean μ = 20.9 and standard deviation s 4.8. SAT scores are reported on a scale from 400 to 1600 . SAT scores have been roughly Normal with mean μ = 1026 and standard deviation Reports...
Scores on the SAT mathematics section have a normal distribution with mean 4-500 and standard deviation o=100. a. What proportion of students score above a 550 on the SAT mathematics section? Round your answer to 4 decimal places. b. Suppose that you choose a simple random sample of 16 students who took the SAT mathematics section and find the sample mean x of their scores. Which of the following best describes what you would expect? The sample mean will be...
What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...
4. National SAT (Scholastic Aptitude Test) scores for high school students in the U.S.A. are normally distributed with a mean of 500 and a standard deviation of 116. What is the percentage of students that score (a) above 700? (C) between 650 and 800? (b) under 400? (d) within 50 of the mean?
Suppose that distribution of Math SAT scores for incoming freshman at Etown has a mean of 535 and a standard deviation of 30. What is the probability that the average Math SAT score in a class containing 35 students is between 500 and 550?
If SAT scores follow normal distribution with average of 500 and a standard deviation of 50, then: What is the probability that a score of randomly selected student will be between 400 and 600?
27. On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. What is the best approximation of the percent of scores that fell between 61.6 and 75.1? 28. The mean of a normally distributed set of data is 52 and the standard deviation is 4. Approximately 95% of all the cases will lie between which measures? 29. Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and...
Q3. Z Distribution: From Probabilities to Proportions (percentages) Answer the following questions with this scenario: To assist students with deficient math skills, the local school district decides to use the standardized math test scores to identify students who are scoring in the lowest 4% in the whole population of fifth-graders. These students will then be enrolled in after-school tutoring sessions provided by the district to improve their math skills. Helpful tips: Review the tutorial videos on “how to use the...