MATH 1342 Name ___________________________ Elementary Statistical Methods Lab 2 Ch.3 - Descriptive Statistics and the Shape of Distributions Critical Thinking; Communication Skills; Empirical/Quantitative Skills 1. During our semester in statistics, we will be studying inferential statistics. In chapter 1, we learned the basic premises behind inferential statistics. In the space below, write a sentence or two summarizing inferential statistics in your own words. sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m 2. The inferential statistics that we will cover in our class will all be parametric statistics. Parametric statistics require that certain requirements about the distribution must be met by the sample data values. We have learned some different distributions in chapter 2. In the space below, sketch and name the FOUR different distributions that we have learned. (See page 85 & 86 in your textbook) Th 3. We have also learned that the mean and the median can give us hints about the distribution of our data. In the space below, use complete sentences and explain how the different distributions typically affect the mean and the median. Your explanation should include the words resistant, symmetric, skewed left, and skewed right. https://www.coursehero.com/file/21376280/Lab-2-Chapter-3pdf/ Lab Ch. 3 continued Use the following data sets in problems #4 - #6. Data Set 1: A genetic study was performed on the number of armored plates found on stickleback fish. A random sample of 40 stickleback fish showed the following number of plates: 42 64 62 9 12 62 50 12 27 11 65 64 63 21 49 62 43 65 51 62 12 21 62 62 66 9 64 12 63 10 54 21 61 9 20 63 45 57 60 62 Data Set 2: It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures: 98.6 98 99.2 97.5 98.8 97.8 98.9 97.9 99 98.2 98.7 98.8 99 99.5 99.4 98.3 99.1 98.4 97.6 97.4 97.7 98.6 99.3 98.4 sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m 98.5 4. For Data Set #1, calculate the mean and median. Based on the mean and median, what is the most likely shape of the distribution? 5. For Data Set #2, calculate the mean and median. Based on the mean and median, what is the most likely shape of the distribution? Th On your own paper, construct the following graphs. 6. A stem-and-leaf plot for data set #1 7. A stem-and-leaf plot for data set #2 8. A boxplot for data set #1 9. A boxplot for data set #2 10. Do the graphs in #6 - 9 support your answers to #4 & #5? On your own paper, justify your answer. Use complete sentences and proper grammar. Your justification should be a minimum of 2 sentences but no longer than page and may be neatly handwritten or typed. https://www.coursehero.com/file/21376280/Lab-2-Chapter-3pdf/ Powered by TCPDF (www.tcpdf.org)