Titleist has been a major manufacturer of golf balls and gear for decades. The company is testing the driving distance of golf balls made of the current material and 3 other materials offered by suppliers. A hitting machine is used to hit the balls, then the distance of each ball is measured. Any difference between the means of groups will be due to the material used in manufacturing. We call these materials Current, A, B, and C. 50 balls from each group tested. The distances measured are in Golf_Ball (Links to an external site.)file. Use alpha level of 5% for all tests on this data.

Observing the distance measurements of all four materials, which statement is correct?

Group of answer choices

A.Distributions of samples are normal and variances are not significantly different, so we use ANOVA test for comparing the mean driving distance of four groups.

B.Distributions of samples are not normal and variances are not significantly different, so we use Kruskal-Wallis test for comparing the mean driving distance of four groups.

C.Distributions of samples are normal and variances are significantly different, so we use ANOVA test for comparing the mean driving distance of four groups.

D. Distributions of samples are normal and variances are significantly different, so we use Kruskal-Wallis test for comparing the mean driving distance of four groups.

Which statement is correct about a test of means done on four groups of golf ball materials?

Group of answer choices

A.Test of means results do not show significant difference between the means. Material A shows the best results and B the worst. Company should choose material A.

B.Test of means results show significant difference between the means. Material C shows the best results and Current the worst. Company should choose material C.

C.Test of means results show significant difference between the means. Material A shows the best results and C the worst. Company should choose material A.

D. Test of means results do not show significant difference between the means. Material C shows the best results and A the worst. Company should choose material C.

ili Material Distance 1 A 245 2 A 231 3 A 220 4 A 226 5 A 237 6 A 229 7 A 243 8 A 234 9A 248 10 A 213 11 A 227 12 A 229 13 A 248 14 A 235 15 A 212 16 A 209 17 A 254 18 A 222 19 A 211 20 A 232 21 A 244 22 A 217 23 A 213 24 A 248 25 A 236 26 A 237 27 A 237 28 A 218 29 A 224 30 A 237 31 A 243 32 A 244 33 A 208 34 A 246 35 A 235 36 A 239 37 A 245 38 A 212 202 232 226 230 229 223 214 239 233 227 214 216 231 235 227 235 222 39 A 40 A 41 A 42 A 43 A 44 A 45 A 46 A 47 A 48 A 49 A 50 A 51 B 52 B 53 B 54 B 55 B 56 B 57 B 58 B 59 B 60 B 61 B 62 B 63 B 64 B 65 B 66 B 67 B 68 B 69 B 70 B 71 B 72 B 73 B 74 B 213 199 223 237 223 234 224 212 214 212 238 230 223 209 218 241 228 236 226 226 209 212 231 203 221 201 216 206 217 246 221 240 222 75 B 76 B 77 B 78 B 79 B 80 B 81 B 82 B 83 B 84 B 85 B 86 B 87 B 88 B 89 B 90 B 91 B 92 B 93 B 94 B 95 B 96 B 97 B 98 B 99 B 100 B 101 C 102 C 103 C 104 C 105 C 106 C 107 C 108 C 109 C 110 C 214 230 230 242 238 212 234 226 216 207 233 217 236 225 226 208 220 238 202 233 235 227 219 251 215 236 184 111 C 112 C 113 C 114 C 115 C 116 C 117 C 118 C 119 C 120 C 121 C 122 C 123 C 124 C 125 C 126 C 127 C 128 C 129 C 130 C 131 C 132 C 133 C 134 C 135 C 136 C 239 253 242 242 213 215 255 251 220 231 234 218 216 241 247 240 222 240 258 253 137 C 138 C 139 C 140 C 141 C 142 C 143 C 144 C 145 C 146 C 192 232 240 236 239 219 243 210 208 227 220 222 212 226 241 234 230 238 219 222 147 C 148 C 149 C 150 C 151 Current 152 Current 153 Current 154 Current 155 Current 156 Current 157 Current 158 Current 159 Current 160 Current 161 Current 162 Current 163 Current 164 Current 165 Current 166 Current 167 Current 168 Current 169 Current 170 Current 171 Current 172 Current 173 Current 174 Current 175 Current 176 Current 177 Current 178 Current 179 Current 180 Current 181 Current 182 Current 232 227 211 199 224 221 242 224 243 241 208 224 220 224 227 238 223 233 219 230 224 224 231 226 227 223 223 232 225 229 217 223 183 Current 184 Current 185 Current 186 Current 187 Current 188 Current 189 Current 190 Current 191 Current 192 Current 193 Current 194 Current 195 Current 196 Current 197 Current 198 Current 199 Current 200 Current 235 212 215 217 229 214 207 223 226 226 211 216 216 ili Material Distance 1 A 245 2 A 231 3 A 220 4 A 226 5 A 237 6 A 229 7 A 243 8 A 234 9A 248 10 A 213 11 A 227 12 A 229 13 A 248 14 A 235 15 A 212 16 A 209 17 A 254 18 A 222 19 A 211 20 A 232 21 A 244 22 A 217 23 A 213 24 A 248 25 A 236 26 A 237 27 A 237 28 A 218 29 A 224 30 A 237 31 A 243 32 A 244 33 A 208 34 A 246 35 A 235 36 A 239 37 A 245 38 A 212 202 232 226 230 229 223 214 239 233 227 214 216 231 235 227 235 222 39 A 40 A 41 A 42 A 43 A 44 A 45 A 46 A 47 A 48 A 49 A 50 A 51 B 52 B 53 B 54 B 55 B 56 B 57 B 58 B 59 B 60 B 61 B 62 B 63 B 64 B 65 B 66 B 67 B 68 B 69 B 70 B 71 B 72 B 73 B 74 B 213 199 223 237 223 234 224 212 214 212 238 230 223 209 218 241 228 236 226 226 209 212 231 203 221 201 216 206 217 246 221 240 222 75 B 76 B 77 B 78 B 79 B 80 B 81 B 82 B 83 B 84 B 85 B 86 B 87 B 88 B 89 B 90 B 91 B 92 B 93 B 94 B 95 B 96 B 97 B 98 B 99 B 100 B 101 C 102 C 103 C 104 C 105 C 106 C 107 C 108 C 109 C 110 C 214 230 230 242 238 212 234 226 216 207 233 217 236 225 226 208 220 238 202 233 235 227 219 251 215 236 184 111 C 112 C 113 C 114 C 115 C 116 C 117 C 118 C 119 C 120 C 121 C 122 C 123 C 124 C 125 C 126 C 127 C 128 C 129 C 130 C 131 C 132 C 133 C 134 C 135 C 136 C 239 253 242 242 213 215 255 251 220 231 234 218 216 241 247 240 222 240 258 253 137 C 138 C 139 C 140 C 141 C 142 C 143 C 144 C 145 C 146 C 192 232 240 236 239 219 243 210 208 227 220 222 212 226 241 234 230 238 219 222 147 C 148 C 149 C 150 C 151 Current 152 Current 153 Current 154 Current 155 Current 156 Current 157 Current 158 Current 159 Current 160 Current 161 Current 162 Current 163 Current 164 Current 165 Current 166 Current 167 Current 168 Current 169 Current 170 Current 171 Current 172 Current 173 Current 174 Current 175 Current 176 Current 177 Current 178 Current 179 Current 180 Current 181 Current 182 Current 232 227 211 199 224 221 242 224 243 241 208 224 220 224 227 238 223 233 219 230 224 224 231 226 227 223 223 232 225 229 217 223 183 Current 184 Current 185 Current 186 Current 187 Current 188 Current 189 Current 190 Current 191 Current 192 Current 193 Current 194 Current 195 Current 196 Current 197 Current 198 Current 199 Current 200 Current 235 212 215 217 229 214 207 223 226 226 211 216 216