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Students from two classes tried out the popularity test. The higher the score, the more popular the person is. Here is the summary of the data: Class A Frequency Class Be Popularity Score Frequency? 18 19 10 20 21 30 20 22 30 23 24 6 40 6 20 25 26 30 27 1e 28 30 33 0 34 36 10 Meane 24.40 23.85. Standard Deviatione 3.59 2.08 Based on the above results, with the help of Excel, answer the following questions: a. James in Class A got 22 in the test. What is his z score in this test? b. Assuming the test scores are nomally distributed, detemine the percentile rank of James. c. Using nomal approximation, it was found that the percentile rank of Edward in Class B is 19. What is his raw score in this test?

Students from two classes tried out the popularity test. The higher the score, the more popular the person is. Here is the summary of the data: Class A Frequency Class Be Popularity Score Frequency? 18 19 10 20 21 30 20 22 30 23 24 6 40 6 20 25 26 30 27 1e 28 30 33 0 34 36 10 Meane 24.40 23.85. Standard Deviatione 3.59 2.08 Based on the above results, with the help of Excel, answer the following questions: a. James in Class A got 22 in the test. What is his z score in this test? b. Assuming the test scores are nomally distributed, detemine the percentile rank of James. c. Using nomal approximation, it was found that the percentile rank of Edward in Class B is 19. What is his raw score in this test?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question 2 Students from two classes tried out the popularity test. The higher the score, the more popular the person is. Here is the summary of the data: Class A Class Be Popularity Score Frequencye Frequency 18 0 19. 20 30 210 20 22 3e 23e 24 25. 26 27 28 0 30 33 34 36 Meane 24.40 23.85e Standard Deviatione 3.59 2.08 Based on the above results, with the help of Excel, answer the following questions: « a. James in Class A got 22 in the test. What is his z score in this test? b. Assuming the test scores are nomally distributed, detemine the percentile rank of James. c. Using nomal approximation, it was found that the percentile rank of Edward in Class B is 19. What is his raw score in this test? d. Using the original distribution of the data, determine the percentile rank of James and Edward. (Hint: If a lot of observations fall into the same category, when calculating the percentile rank, we will assume half of the observations within the category is lower than our target person while the other half is higher.) e. Based on the answer in (d), comment on the popularity of James and Edward in their classes. f. Compare the percentile rank of James found in (b) and (d), are they the same? Why or why not?
Transcribed Image Text:Question 2 Students from two classes tried out the popularity test. The higher the score, the more popular the person is. Here is the summary of the data: Class A Class Be Popularity Score Frequencye Frequency 18 0 19. 20 30 210 20 22 3e 23e 24 25. 26 27 28 0 30 33 34 36 Meane 24.40 23.85e Standard Deviatione 3.59 2.08 Based on the above results, with the help of Excel, answer the following questions: « a. James in Class A got 22 in the test. What is his z score in this test? b. Assuming the test scores are nomally distributed, detemine the percentile rank of James. c. Using nomal approximation, it was found that the percentile rank of Edward in Class B is 19. What is his raw score in this test? d. Using the original distribution of the data, determine the percentile rank of James and Edward. (Hint: If a lot of observations fall into the same category, when calculating the percentile rank, we will assume half of the observations within the category is lower than our target person while the other half is higher.) e. Based on the answer in (d), comment on the popularity of James and Edward in their classes. f. Compare the percentile rank of James found in (b) and (d), are they the same? Why or why not?
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Score 30-under 40, frequency 1. Approximately what percent of students got more than 70?

 

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