red_pe_ch_10.pdf

# B the double box and whisker plot shows the medians

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b. The double box-and-whisker plot shows the medians of 100 random samples of 10 speeding tickets for each state. Compare the variability of the sample medians to the variability of the sample costs in part (a). 50 90 70 110 80 60 100 120 130 150 140 160 Cost (dollars) State B State A The IQR of the sample medians for each state is about 10. So, the sample medians vary much less than the sample costs. c. Make a conclusion about the costs of speeding tickets in the two states. The sample medians show less variability. Most of the sample medians for State B are greater than the sample medians for State A. So, speeding tickets generally cost more in State B than in State A. 2. WHAT IF? A random sample of 8 speeding tickets issued in State C has a median of \$120. Can you conclude that a speeding ticket in State C costs more than in States A and B? Explain. Exercise 8 You do not need to have all the data from two populations to make comparisons. You can use random samples to make comparisons.

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Exercises 10.7 452 Chapter 10 Probability and Statistics 3. SNAKES The tables show the lengths of two types of snakes at an animal store. Garter Snake Lengths (inches) 26 30 22 15 21 24 28 32 24 25 18 35 Water Snake Lengths (inches) 34 25 24 35 40 32 41 27 37 32 21 30 a. Find the mean, median, mode, range, interquartile range, and mean absolute deviation for each data set. b. Compare the data sets. 4. HOCKEY The double box-and-whisker plot shows the goals scored per game by two hockey teams during a 20-game season. 0 4 2 6 3 1 5 7 8 10 9 11 Goals scored per game Team B Team A a. Compare the populations using measures of center and variation. b. Express the difference in the measures of center as a multiple of the measure of variation. 5. TEST SCORES The dot plots show the test scores for two classes taught by the same teacher. Class A Scores 70 75 80 85 90 95 100 Class B Scores 70 75 80 85 90 95 100 a. Compare the populations using measures of center and variation. b. Express the difference in the measures of center as a multiple of each measure of variation. 9 +(-6)=3 3 +(-3)= 4 +(-9)= 9 +(-1)= 1. REASONING When comparing two populations, when should you use the mean and the MAD? the median and the IQR? 2. WRITING Two data sets have similar variabilities. Suppose the measures of center of the data sets differ by 4 times the measure of variation. Describe the visual overlap of the data. 1 Help with Homework
Section 10.7 Comparing Populations 453 Graph the inequality on a number line. (Section 4.1) 10. x > 5 11. b 3 12. n < 1.6 13. p 2.5 14. MULTIPLE CHOICE The number of students in the marching band increased from 100 to 125. What is the percent of increase? (Section 6.5) A 20% B 25% C 80% D 500% 6. ATTENDANCE The tables show the attendances at volleyball games and basketball games at a school during the year. Volleyball Game Attendance 112 95 84 106 62 68 53 75 88 93 127 98 117 60 49 54 85 74 88 132 Basketball Game Attendance 202 190 173 155 169 188 195 176 141 152 181 198 214 179 163 186 184 207 219 228 a. Compare the populations using measures of center and variation.

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