ps M Gmail YouTube Maps Champlain Canvas Google Docs Course Hero C Chegg Plagiarism Checker d Bino calc Citation Machine < Stukent Many high school students take the SAT's twice; once in their Junior year and once in their Senior year. The Senior year scores (x) and associated Junior year scores (y) are given in the table below. This came from a random sample of 35 students. Use this data to test the claim that retaking the SAT increases the score on average by more than 26 points. Test this claim at the 0.05 significance level. (a) The claim is that the mean difference (x - y) is greater than 26 (Ud > 26). What type of test is this? Senior Score (x) Junior Score (y) (x - y) This is a left-tailed test. 094 1065 1262 1220 This is a right-tailed test. 1264 1213 This is a two-tailed test. 1170 1159 1133 1096 (b) What is the test statistic? Round your answer to 2 decimal places. 1262 1250 10 1158 1154 239 1193 (c) Use software to get the P-value of the test statistic. Round to 4 decimal places. 1183 1130 P-value = 269 1255 (d) What is the conclusion regarding the null hypothesis? 180 1141 O reject Ho 1241 1200 121 1082 fail to reject Ho 234 1205 1256 1218 (e) Choose the appropriate concluding statement. 1216 1187 The data supports the claim that retaking the SAT increases the score on average by more than 26 points. 1168 1114 There is not enough data to support the claim that retaking the SAT increases the score on average by more than 26 1079 1053 points. 1276 1239 We reject the claim that retaking the SAT increases the score on average by more than 26 points. 1277 1240 234 1208 We have proven that retaking the SAT increases the score on average by more than 26 points. 1191 1155 1271 1241 mm 9 9 8 183 1160 1146 1108 1148 1115 1315 1265 1167 1147 1115 1107 1206 1175 1184 1163 1178 1134 1258 1184 1172 1152 1145 1145