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A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all third graders in the state. The mean score on the test was compared to the state average to determine the school system's rating. Also, the educators were concerned with the variation in scores. If the mean scores were at an acceptable level but the variation was high, this would indicate that a large proportion of the students still needed remedial reading programs. Also, a large variation in scores might indicate a need for programs for those at the gifted level. Without accelerated reading programs, these students lose interest during reading classes. To obtain information about students early in the school year (the statewide test is given during the last month of the school year), a random sample of 25 third-grade students was given the exam used in the previous year. The possible scores on the reading test range from 0 to 100. The mean and standard deviation of the 25 students are 70.571 and 9.537, respectively. Do the data indicate that the variance in reading scores is greater than 90, the variance for all students taking the exam the previous year? Use a = 0.01. ASsume the scores of the test follow a normal distribution.

A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all third graders in the state. The mean score on the test was compared to the state average to determine the school system's rating. Also, the educators were concerned with the variation in scores. If the mean scores were at an acceptable level but the variation was high, this would indicate that a large proportion of the students still needed remedial reading programs. Also, a large variation in scores might indicate a need for programs for those at the gifted level. Without accelerated reading programs, these students lose interest during reading classes. To obtain information about students early in the school year (the statewide test is given during the last month of the school year), a random sample of 25 third-grade students was given the exam used in the previous year. The possible scores on the reading test range from 0 to 100. The mean and standard deviation of the 25 students are 70.571 and 9.537, respectively. Do the data indicate that the variance in reading scores is greater than 90, the variance for all students taking the exam the previous year? Use a = 0.01. ASsume the scores of the test follow a normal distribution.

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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A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all third graders in the state. The mean score on the test was compared to the state average to determine the school system's rating. Also, the educators were concerned with the variation in scores. If the mean scores were at an acceptable level but the variation was high, this would indicate that a large proportion of the students still needed remedial reading programs. Also, a large variation in scores might indicate a need for programs for those at the gifted level. Without accelerated reading programs, these students lose interest during reading classes. To obtain information about students early in the school year (the statewide test is given during the last month of the school year), a random sample of 25 third-grade students was given the exam used in the previous year. The possible scores on the reading test range from 0 to 100. The mean and standard deviation of the 25 students are 70.571 and 9.537, respectively. Do the data indicate that the variance in reading scores is greater than 90, the variance for all students taking the exam the previous year? Use a = 0.01. Assume the scores of the test follow a normal distribution.
Transcribed Image Text:A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all third graders in the state. The mean score on the test was compared to the state average to determine the school system's rating. Also, the educators were concerned with the variation in scores. If the mean scores were at an acceptable level but the variation was high, this would indicate that a large proportion of the students still needed remedial reading programs. Also, a large variation in scores might indicate a need for programs for those at the gifted level. Without accelerated reading programs, these students lose interest during reading classes. To obtain information about students early in the school year (the statewide test is given during the last month of the school year), a random sample of 25 third-grade students was given the exam used in the previous year. The possible scores on the reading test range from 0 to 100. The mean and standard deviation of the 25 students are 70.571 and 9.537, respectively. Do the data indicate that the variance in reading scores is greater than 90, the variance for all students taking the exam the previous year? Use a = 0.01. Assume the scores of the test follow a normal distribution.
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