Math 366 Minitab Homework Assignment # 1 Due 28 February 2002 Please visit http://unix.cc.wmich.edu/lheun/ Tip: Read through this entire assignment before getting on a computer. The data that you will need for this assignment can be found in the file called BB97.txt. Click on Minitab Assignment 1 data and SaveAs. Once the data is on your computer, you may need to use EXCEL to reformat it so that you can read it into a Minitab worksheet. The worksheet contains data on 28 baseball teams. The data contains the following variables: Baseball team League (L) (American = 0, National = 1), Number of Wins (W), E.R.A. (ERA) (Earned Run Average), Runs Scored (RS), Hits Allowed (HA), Walks Allowed (WA), Saves (S), and Errors (E). Open worksheet in Minitab and follow dialog box instructions. (+5)1. Obtain the descriptive statistics for ERA. and W. In your report, include the output of Minitab (copy and paste), and make an additional table listing these particular measures of central tendency: mean, median, midhinge and midrange. Also include these measures of variation in your table: range, IQR, variance, standard deviation, and coefficient of variation. Note: A couple of these measures (midrange, midhinge, and CV) will require you to make some additional hand calculations. (+5)2. Get a stem-and-leaf plot of S. Determine the mode of S from the plot? (+5)3. Obtain a histogram of ERA. Based on the histogram, what is the shape of the data? (+5)4. Get a boxplot of ERA score. What is the shape? Does this agree with the shape you reported in #3? Remember that tilting you head to the left or turning the printout clockwise helps you determine skewness direction, if any. (+5)5. Using the five-number summary obtained in #4, what are the quartiles? Calculate the midhinge and interquartile range as well. (+5)6. Get a Normal Probability Plot of ERA. Based on the probability plot, does this data come from a normal distribution? NOTE: You are expected to incorporate all graphs and descriptive output into a Word (or other suitable word processor) document, along with all of your answers. Be sure that you answer all parts of the questions. You may type or write some answers such as the midhinge and IQR in #5. Just make sure you leave room on the page for such hand calculations before printing your Word document. Tips on copying plots from Minitab to Word: Stem-and-leaf plots: Select the plot area on the worksheet by highlighting the appropriate range. Copy from Minitab and paste into Word. Histograms: Copy from Minitab and paste into Word. Boxplots: Copy from Minitab and paste into Word. .