A test of reading ability has mean 60 and standard deviation 5 when given to third graders. Sixth graders have mean score 83 and standard deviation 11 on the same test. To provide separate "norms" for each grade, we want scores in each grade to have mean 100 and standard deviation 20. (Round your answers to two decimal places.)
(a) What linear transformation will change third-grade scores x into new scores xnew = a + bx that have the desired mean and standard deviation? (Use b > 0 to preserve the order of the scores.)
a = |
b = |
(b) Do the same for the sixth-grade scores.
a = |
b = |
(c) David is a third-grade student who scores 71 on the test. Find
David's transformed score.
Nancy is a sixth-grade student who scores 71. What is her
transformed score?
Who scores higher within his or her grade?
Nancy David
A test of reading ability has mean 60 and standard deviation 5 when given to third...
Raw scores on behavioral tests are often transformed for easier comparison. A test of reading ability has mean 60 and standard deviation 10 when given to third graders. Sixth graders have mean score 83 and standard deviation 9 on the same test. To provide separate "norms" for each grade, we want scores in each grade to have mean 100 and standard deviation 20. (Round your answers to two decimal places.) (a) What linear transformation will change third-grade scores x into new...
Scores on a test of reading ability for second graders are normally distributed with a mean of 60 and a standard deviation of 11. The principal of a school wants to identify the students who are in the top 5% of the class for participation in accelerated work in reading. What is the minimum raw score a student must have to be in the top 5% a. 65 b. 78.5 c. 66.65 d. 77.58
Suppose a new standardized test is given to 98 randomly selected third-grade students in New Jersey. The sample average score Y on the test is 57 points, and the sample standard deviation, sy, is 10 points. The authors plan to administer the test to all third-grade students in New Jersey. The 95% confidence interval for the mean score of all New Jersey third graders is ( 55.02, 58.98 ). (Round your responses to two decimal places.) Suppose the same test...
14. Calculate the standard error of the difference in the mean test scores in the two states. (a) 0.7601. (b) 0.4658 (c) 0.2589. (d) 2.5687. (1) king sure that the standard (e) minimising the sum of about real (d) minimizing the sum of quared residuals Suppose a standardized test is given to 100 g 9. on the test is 100 points, and the is given to 225 randomly selected third graders in State and le variance of 49. Answer questions...
Question 4 (10 points) Suppose a new standardized test is given to 100 randomly selected third- on the test is 58, and the grade students in New Jersey. The sample average score sample standard deviation, sy, is 8. evel. (a) Test Ho : μY-60 vs H1 : μYメ60 at a 1% significance (b) Construct a 90% confidence interval for the mean score of all New Jersey third graders (c) Suppose the same test is given to 200 randomly selected third...
IQ-scores are standard-score transformed scores having a mean of 100 and a standard deviation of 15; SAT scores are standard-score transformed scores having a mean of 500 and a standard deviation of 100. In what follows, X refers to a raw score from a distribution with a mean of X and a standard deviation of S, and SAT and IQ refer to the corresponding transform of that score. Solve for the missing value in each of the following: (a) X=-2.5;Xmean=...
A teacher sets a test for a class of students. The teacher decides to analyze the test results using statistical analysis techniques. Given the table of results below, complete the following tasks: CLASS RESULTS Student Test Score (%) Thomas 74 Charles 55 Sarah 81 Mathew 68 James 71 Jessica 74 Daniel 86 Jack 66 Emma 73 Laura 72 Joshua 84 Alice 68 Samantha 70 a). Calculate the Mean of the test scores. b). Calculate the Median of the test scores....
A teacher sets a test for a class of students. The teacher decides to analyse the test results using statistical analysis techniques. Given the table of results below, complete the following tasks: CLASS RESULTS STUDENTS TEST SCORE% Thomas 74 Charles 55 Sarah 81 Mathew 68 James 71 Jessica 74 Daniel 86 Jack 66 Emma 73 Laura 72 Joshua 84 Alice 68 Samantha 70 a). Calculate the Mean of the test scores. b). Calculate the Median of the test scores. c)....
In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.4. Find the probability that a randomly selected medical student who took the test had a total score that was more than 530. The probability that a randomly selected medical student who took the test had a total score that was more than 530 is _______
In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.6. Find the probability that a randomly selected medical student who took the test had a total score that was more than 529. The probability that a randomly selected medical student who took the test had a total score that was more than 529 is _______