Final Exam Math 265
Your final exam for this class will occur in two parts. There will be a take home portion and an in-class portion.
Take Home Portion (100 points): I will hand out the take-home portion of the final exam on Wednesday, March 15. It will be due on Monday, March 20th by 1:00pm. Late take-home portions will not be accepted. You may use your notes and your book as you work on this take home portion. You may talk to other students in the class as you prepare to answer a question, but your work may not be a copy of another student’s work. If your work matches another student’s work then neither of you will get credit for that problem. You are not allowed to get help from the math help desk.
In-Class Portion (50 points): Monday, March 20th from 1:00 to 2:50pm in our usual classroom. This will be a conceptual test. My hope is that as you work hard on the take home portion, you will be reviewing the ideas you will be tested on for this in-class portion. I will outline the areas I could ask you about on the in-class portion next.
Topics for the in-class conceptual portion of the final exam:
Sections 1.1, 1.2, and 1.3: You should be able to explain the meaning of and/or interpret any summary statistic such as the sample mean, range, standard deviation, variance, median, outlier, mode, interquartile range, and percentiles. Be able to interpret a box plot.
Section 2.1: Know how the formula for the correlation coefficient works to produce a number that summarizes how well the data fit a line. Reread pages 40 and 41.
Section 2.2 and Section 2.3: What makes the Least-Squares line the “best” fitting line? Be able to explain. Know the vocabulary. What is a residual? What is the coefficient of determination and what does it tell you?
Section 3.3: Know what a random variable is and whether you are working with a continuous or discrete random variable. What is the difference between a probability distribution and a cumulative distribution?
Section 4.1: Know when we use the Binomial Distribution. What does the random variable represent when it is a binomial random variable?
Section 4.2: How do you know when a random variable is Poisson?
Section 4.3: Know the proportions of the population that are within one, two, or three standard deviations of the mean for a normal random variable.
Section 4.5: What does a random variable represent when it is exponential?
Section 4.8: The Central Limit Theorem. Know what this theorem is and why it is important.
Section 5.1 and 5.2: Know the difference between a statistic and a parameter. Be able to intelligently discuss what a confidence interval is. What does it mean to say an estimator is biased?
Section 5.3: Why do we use the new method for a confidence interval for a proportion?
Section 5.4: We were introduced to the Student’s t distribution in this section. When do we use it? How does it differ from a normal distribution?
Section 6.1 and Section 6.2: Know the theory behind hypothesis testing. How do you set up the hypothesis statements? What is a test statistic and why do they differ for different tests? What does the p-value calculate?
The rest of Chapter 6, Section 7.1, Section 7.2, Section 7.5, and Section 9.1: I should be able to give you a complete hypothesis test and you should be able to explain each part. You should be able to set up correct hypothesis statements. You should be able to offer meaningful conclusions that consist of an interpretation of the results in terms of the actual data involved.