he College of Engineering of a State University gives an entrance exam to incoming freshmen. Those who got scores equal or higher than the set passing are accepted in the College. The average score of the incoming freshmen was 80% before the implementation of K to 12 education system. Due to this implementation, the entrance exam was suspended for two years and it is thought that the quality of the first year students had diminished. However, with the vision, mission, goals and objectives of the University and the College towards quality education, the Dean wants to determine if the quality of freshmen students has changed. He wants to know if it has improved or diminished so a small random sample of 15 freshmen students and administers the same entrance exam. The average score is found to be 83% with a standard deviation of 5%. Determine whether the quality has changed using 1% level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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The College of Engineering of a State University gives an entrance exam to incoming freshmen. Those who got scores equal or higher than the set passing are accepted in the College. The average score of the incoming freshmen was 80% before the implementation of K to 12 education system. Due to this implementation, the entrance exam was suspended for two years and it is thought that the quality of the first year students had diminished. However, with the vision, mission, goals and objectives of the University and the College towards quality education, the Dean wants to determine if the quality of freshmen students has changed. He wants to know if it has improved or diminished so a small random sample of 15 freshmen students and administers the same entrance exam. The average score is found to be 83% with a standard deviation of 5%. Determine whether the quality has changed using 1% level of significance.
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