I tell my students what to expect on the test. I want them to learn it. If they all get A's, great! Without the answers, I can see no harm. Any criticism is welcome - there are differences of opinion out there, I am sure. This test is so dependent on MiniTab it may not be useful. So here goes a midtern exam . . .
[Note: The main text is Rossman's Workshop Statistics and the software is MiniTab. Tested is the use of MiniTab as well as statistics. It was a two hour test.]
MULTIPLE MEASUREMENTS OF A SINGLE VARIABLE
Work 100 points worth. Read through the whole test before beginning. Circle the problems to be graded. Problems 1, 2, 3, 4 are each worth 25 points. Problems 5 and 6 are each worth 50 points.
BY HAND PROBLEMS:
Problem 1: The reaction times of an individual to certain stimuli were measured by a psychologist to be 1.00, 0.53, 0.46, 0.50, 0.49, and 0.44 seconds. You are the statistician and will be working up the raw data. Take a critical, realistic look at the data. Decide what data to use. State your observations. Justify your decision. Answer on separate paper. [Note: I accepted any choice but must be justfied] For this data analyze the central tendencies by doing at least two of the following: a) Determine Mean, Mode, and Median b) Make a dotplot. c) Make a stemplot. d) Construct a histogram. e) Calculate the standard deviation from the mean. State a resulting number for this person's reaction times and describe the distribution of the data.
Problem 2. Pasted below are the back-to-back stem-and-leaf plots of the ages of the Oscar Winning Best Actors and Actresses, 1928-88, from the article you were to have read by now. [Mathematics Teacher, February 1990] Describe the distributions. Compare ages and distributions of ages of winning actors and actresses. Be critical and creative.
Problem 3: Describe and compare the histograms in Moore and McCabe on page 23. Follow the directions for the problem 1.13. Use separate paper.
Problem 4: On page 26 in Moore and McCabe, work #1.18 using the first 10 data entries (Alabama through Georgia). You may do the stemplots by hand or by computer. In either case, hand write the names of the states on the correct lines of the plot. If by computer, save on the disk under appropriate title for me to find. Remember the narrative answer.
COMPUTER REQUIRED: DATA IS IN FILE ON YOUR DISK. Save all graphs, changed worksheets and sessions under appropriate names for me to find and grade. [Note: each student has his own disc. The data is from MiniTab Tutorial]
Problem 5: On your disk are QUIZSCORES.MTW from two classes: A and B. (a) Use MiniTab to calculate Mean and Median and Standard Deviation of each class and save in Session. (b) Transfer data of scores that is in the worksheet into the Session Window.
(c) Use MiniTab to construct dot plots and stem-and-leaf plots of each class and Save all in the Session. Construct a histogram of each class and save.
(d) On paper, hand write a comparison of the central tendencies and distributions of the scores of classes A and B on the quiz. Were all these techniques necessary for a thorough analysis? Which gave redundant information? Which gave unique information undetectable in other methods
Problem 6. Open the NIELSEN.MTW worksheet. This file contains data on the TV viewing habits of Americans. (a) In column C6 Times are the average number of hours spent watching TV per week for each year. Create a new column C7 that represents the average number of hours spent watching TV per day. Save new worksheet.
(b) Find and record in the Session the Mean, Median, Minimum and Maximum viewing hours per week considering all the years together.
(c) Use MiniTab to create a dot plot of average number of hours spent watching TV per week. Save in the Session.
(d) Use MiniTab to construct a histogram of average number of hours spent watching TV per week. Save the graph on the disk.
(e) Use MiniTab to make a Scatter Graph of average number of hours spent watching TV per week. Annotate the axes of the graph and title graph using the MiniTab feature to do this.
(f) Compare the methods of displaying data. Which is the most useful for the general public to interpret?