A study was conducted on students from a particular high school over the last 8 years. The followinginformation was found regarding standardized tests used for college admitance. Scores on the SAT test arenormally distributed with a mean of 1076 and a standard deviation of 196. Scores on the ACT test arenormally distributed with a mean of 22.7 and a standard deviation of 5. It is assumed that the two testsmeasure the same aptitude, but use different scales.If a student gets an SAT score that is the 67-percentile, find the actual SAT score.SAT score =Round answer to a whole number.What would be the equivalent ACT score for this student?ACT score =Round answer to 1 decimal place.If a student gets an SAT score of 1409, find the equivalent ACT score.ACT score =Round answer to 1 decimal place.

Using Excel formula "=NORM.S.INV(0.67)", the value of z for 67th percentile is obtained as 0.44.

Answered: A study was conducted on students from…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1044 and a standard deviation of 195. Scores on the ACT test are normally distributed with a mean of 22.2 and a standard deviation of 3.8. It is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 26-percentile, find the actual SAT score.SAT score = Round answer to a whole number.What would be the equivalent ACT score for this student?ACT score = Round answer to 1 decimal place.If a student gets an SAT score of 1493, find the equivalent ACT score.ACT score = Round answer to 1 decimal place.
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 49, and the standard deviation is 20.7. The teacher now wants to identify those students who may need extra help. She decides to look at students who have z-scores below z = -2.00 Identify the test score corresponding to a z-score of below z = -2.00. Round to the nearest whole number.
SWC surveyed its students and measured the extent of their tendency to conform to others on a scale of 1 to 10. Higher scores indicate a higher tendency to conform. The mean score for students at the college was 6 with a standard deviation of 2. Professor Hayashi believes his students are very independent. He measures the conformity of his students on the same scale to see if they differ from the college. The following scores are the conformity scores of the sample of students: 4 7 5 4 3 10 7What proportion of random samples of students from the population can we predict will have a conformity above 5.5?
SWC surveyed its students and measured the extent of their tendency to conform to others on a scale of 1 to 10. Higher scores indicate a higher tendency to conform. The mean score for students at the college was 6 with a standard deviation of 2. Professor Hayashi believes his students are very independent. He measures the conformity of his students on the same scale to see if they differ from the college. The following scores are the conformity scores of the sample of students: 4 7 5 4 3 10 7What proportion of random samples of students from the population can we predict will have a conformity mean below 3?
Aaliyah and Lloyd began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Aaliyah took a test in Social Studies and earned a 79.8, and Lloyd took a test in Science and earned a 68.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 74.1 and a standard deviation of 9.6, and all the students' test grades in Science had a mean of 60.9 and a standard deviation of 8.6 to answer the following questions. a) Calculate the z-score for Aaliyah's test grade. 2 = [Round your answer to two decimal places.] b) Calculate the z-score for Lloyd's test grade. 2 = [Round your answer to two decimal places.] c) Which person did relatively better? O Aaliyah O Lloyd O They did equally well.
Rachael and Autumn began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Rachael took a test in English and earned a 81.8, and Autumn took a test in Math and earned a 63.6. Use the fact that all the students' test grades in the English class had a mean of 71.3 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 60.2 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Rachael's test grade.z=z= b) Calculate the z-score for Autumn's test grade.z=z= c) Which person did relatively better? RachaelAutumnThey did equally well.
A personnel psychologist has to decide which of three employees to place in a particular job that requires a high level of coordination. All three employees have taken tests of coordination, but each took a different test. Employee A scored 15 on a test with a mean of 10 and a standard deviation of 2; Employee B scored 350 on a test with a mean of 300 and a standard deviation of 40; and Employee C scored 108 on a test with a mean of 100 and a standard deviation of 16. (On all three tests, higher scores mean greater coordination.) Which employee has the best coordination? (hint: convert raw scores to z scores and compare) Select one: a. Employee A b. Employee B c. Employee C Clear my choice
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. • Lucille's class had an average grade of 78 and the standard deviation was 7. Lucille earned 83.95 on the exam. • Rocio's class had an average grade of 82 and the standard deviation was 3. Rocio earned 86.5 on the exam. • Cristina's class had an average grade of 76 and the standard deviation was 4. Cristina earmed 82.8 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. • Rocio's score places her above % of her class. • Cristina's score places her above % of her class.
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1026 and a standard deviation of 196. Scores on the ACT test are normally distributed with a mean of 19.9 and a standard deviation of 4.6. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 71-percentile, find the actual SAT score. SAT score = Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = Round answer to 1 decimal place. If a student gets an SAT score of 1242, find the equivalent ACT score. ACT score = Round answer to 1 decimal place. > Next Question
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Dan is doing research on organic farming for an agricultural foundation. He has collected data on the number of oranges harvested from individual trees in two different orchards. In each orchard, the number of oranges harvested from each of 57 trees was recorded. The histograms below show the distributions of the two data sets. The means and standard deviations for the data sets are also given. Orchard 1 Orchard 2 25 25 20- 20- 15+ 15- 10+ 10+ 5+ 5+ 199.5 219.5 239.5 259.5 279.5 299.5 319.5 339.5 359.5 199.5 219.5 239.5 259.5 279.5 299.5 319.5 339.5 359.5 Orchard 1 mean: 275.1 oranges Orchard 2 mean: 274.9 oranges Orchard 1 standard deviation: 23.2 oranges Orchard 2 standard deviation: 47.9 oranges Dan wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help Dan with his approximations. (a) Identify the data set for which it is appropriate to use the…

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