Problem #1 In assessing the 2016-2017 junior class at Bradley University, Dr. Ti

Question

Problem #1 In assessing the 2016-2017 junior class at Bradley University, Dr. Timpe has come to the conclusion that he has either gone soft or the students have become noticeably more capable. His conclusion is primarily based on the class average on his exams, formerly thought to strike terror into the hearts of all junior level Mechanical Engineering students. The data is as follows: The 20 students from the current class have performed with an average of 65 pts and a standard deviation of 12 pts. The 100 students from the previous five years have performed with an average of 63 pts and a standard deviation of 15 pts. . Approximate the confidence with which Dr. Timpe makes his conclusions. Show all work for full credit.

Explanation / Answer

We know from the properties of standard normal distributions that approximately 99% of the data are within 3 standard deviations of the mean.

So, in the current class, about 99% of the students score between 65-3*12 and 65+3*12,i.e., between 29 and 101.

In the past years, about 99% of the students score between 63-3*15 and 63+3*15,i.e., between 18 and 108.

So Dr Timpe is reasonable to make his assumption.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.