Question

Response Questions From Part A To B Example 1.7 provides the numerical values for the guinea pig survival times after inoculation plotted in Figure 1.6. as often with survival times, th is distribution is strongly skewed to the right A a Which numerical summary would you choose for these data? Explain whv. Does it show the expected right-skew? b) Calculate your chosen summary in Example 2.4. How does it reflect the skewness of the distribution? Guinea pig survival times Figure 1.6 displays the survival times in days (reported be they were injected with infectious bacteria in a medical experiment. low) of 72 guinea pigs after 43 45 53 56 56 57 58 66 67 73 74 79 80 80 81 81 81 82 83 83 84 SS 89 91 91 92 92 97 9999 10o 100 101 102 102 102 103 104 107 108 109 113 114 118 121 123 126 2s 137 138 139 144 145 147 156 162 174 178 179 1s4 191 198 211 214 243 249 329 380 403 511 522 s9s 40 30 20 FIGURE 1.6 Ho 10 100 200 3o0 40o 500 600 Guinea pig survival time (days) EXABPLE 2.4 Guinea pig survival times / Figure L6 (page 19) shows the survival times of 72 guinea pigs after inocularios eably skewed to the right and has son. Figure 1-6 (page 19) shows the survival times of 72 guinea pigs tential high outliers. The mean survival time is 141.9 days, whereas the median sunvical time is only 102.5 days. The mean is pulled toward the right tail of this distribution. Ifthe longest survival time were increased tenfold to 5980 days rather than 598 days. the mean would increase to more than 216 days but the median would not change at ail. The artificially created outlier would count as just one observation above the center, no matter how far above the center it might lie. In contrast, the mean uses the actual value ofeach observation and is, therefore, very sensitive to any extreme values. B. Given an example of a small set of data for which the me an is larger than third quartile

Answer 1