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Questions 1-5 are based on the following You randomly clock a sample of vehicles on a freeway and obtain the following vehicle speed data (mph) 8328 8889493 The variance of the sample is 22.511 23.449 24 427 25.444 2 The estimated variance of $ is, 0.174 0.184 1.193 0.203 3. You want to build a 95% confidence interval for the population mean vehicle speed The margin of error (MOE) for the interval is, 1.040 0.963 0.892 0.826 4 The 959% interval estimate is 77.4 82.5 79.1 80.8 79.7 80.2 79.8 80.0 UI You want to build an interval estimate that would capture the population mean moh within $0 5 mph from the sample mean 959% of the time. What is the minimum sample size to yield such an interval? Use the standard deviation from the mph sample for the planning value 406 376 348 322 Questions 6-10 are related to the following As a statistics course assignment you are to build a 95%% confidence interval for the mean monthly rental for two-bedroom apartments in Marion County. A random sample of apartments yields the following data 1065 1110 1085 1145 1165 1295 1175 945 1215 1195 1070 985 1180 1415 1125 1085 1155 1275 1105 985 1380 1020 860 1165 1175 1495 1035 900 820 1140 910 1165 1060 1115 1090 1265 1280 1075 955 1145 1130 1065 1265 1075 990 1210 130 940 1090 1170 1175 1255 1095 1065 1245 1080 1160 1285 1120 1140 1130 1030 1375 1115 1115 120 1270 960 965 1170 1100 1198 1100 1040 1250 1030 1195 1145 1085 1095 1225 1005 1225 1265 875 1235 1115 865 870 1025 1110 975 1360 1155 980 1055 1125 1020 1145 1120 1140 1150 1365 1225 1185 1220 980 1020 970 1115 5 The point estimate of the population mean monthly rental is. $1,166.86 $1.143.98 $1,121.55 $1,099.55 7 The estimated variance of the sample mean is. 143.21 155.66 15752.64 14492.42 3 The margin of error for the 95% confidence interval is, $28.70 $26.09 $23.72 $21.56 9 The 95% interval estimate for the mean rent is $1,069 51.174 $1.081 $1,162 $1,091 $1.152 $1,098 $1.145 10 If you were asked to narrow the 95% margin of error to $10. How many apartments would you need to include in your sample? For planning value use the sample standard deviation above. 762 706 654 506