Which concrete is best sold where? The marketing team of an engineering firm noticed that some of their concrete products are having trouble being sold at some of their distribution points. So they decided to investigate the sales for three concrete types: high-strength concrete, stamped concrete, and high-performance concrete. After consulting with the sales managers at three of their distribution points (A, B and C), they suspected two possibilities as potential reasons for the sales problem. The first is simply that some concrete types just sells better than others. The second is that in general, concrete sells in some places better than in others. So, they thought that if the first reason was true, they would have to just cut down on the production of the concrete types which don’t sell well. But if the second reason was true, then they would just limit normal distribution of concrete to places where it sells well. To clear these issues out they conducted a study. For each one of the three types of concrete they recorded the quantities sold at each of the three distribution points on a random sample of 45 days. The data is given in Table 1 with the following format. Check whether the data supports the first reasons suspected by the marketing team, and state your conclusion. Check whether the data supports the second reason suspected by the marketing team, and state your conclusion. Based on the results of (a) and (b), propose and discuss a concrete distribution policy for this engineering firm Distribution Point A Distribution Point B Distribution Point C High-strength concrete 223 117 201 234 99 102 259 66 130 187 55 153 160 108 183 199 79 170 216 95 169 252 113 169 197 63 160 237 105 162 219 139 143 212 144 209 257 98 181 194 118 210 220 150 192 210 140 156 177 113 172 202 149 166 254 58 181 209 110 148 209 60 169 195 100 144 193 104 173 201 120 190 187 94 177 204 112 158 206 135 155 231 136 169 195 142 190 224 152 133 159 147 139 205 116 137 179 122 155 201 119 121 230 111 169 244 69 166 200 102 162 208 85 109 215 82 184 268 82 180 243 109 164 235 109 147 186 96 102 226 83 138 208 106 111 Stamped concrete 227 148 162 228 117 150 214 95 199 152 155 281 93 199 201 151 170 217 133 145 228 150 231 240 98 170 212 75 94 110 150 174 237 211 98 190 191 134 173 202 62 163 163 151 205 127 138 198 108 118 191 86 104 233 168 126 200 129 118 250 166 170 223 124 157 216 119 101 193 119 178 208 190 124 275 188 173 205 148 185 185 171 132 159 149 145 225 69 162 245 109 145 193 178 186 201 132 141 214 139 115 210 180 169 136 179 144 203 161 202 210 174 127 211 210 200 169 134 134 188 149 134 202 90 212 238 134 170 202 121 96 183 151 89 219 High-performance concrete 161 215 157 109 267 177 148 206 121 116 325 236 145 200 118 146 212 59 210 217 140 95 220 93 142 201 83 146 170 121 178 155 93 156 230 174 119 219 163 204 174 168 179 243 97 153 151 181 178 208 166 193 239 111 134 264 127 163 165 119 139 163 110 126 159 191 201 113 74 159 197 169 114 210 176 146 202 145 154 123 52 209 148 175 134 214 68 132 172 161 129 188 166 141 214 88 194 194 170 161 304 180 151 213 94 102 107 134 200 180 140 203 196 100 100 218 134 177 149 142 141 185 203 45 190 96 67 249 98 181 233 104 145 216 107

Which concrete is best sold where? The marketing team of an engineering firm noticed that some of their concrete products are having trouble being sold at some of their distribution points. So they decided to investigate the sales for three concrete types: high-strength concrete, stamped concrete, and high-performance concrete. After consulting with the sales managers at three of their distribution points (A, B and C), they suspected two possibilities as potential reasons for the sales problem. The first is simply that some concrete types just sells better than others. The second is that in general, concrete sells in some places better than in others. So, they thought that if the first reason was true, they would have to just cut down on the production of the concrete types which don’t sell well. But if the second reason was true, then they would just limit normal distribution of concrete to places where it sells well. To clear these issues out they conducted a study. For each one of the three types of concrete they recorded the quantities sold at each of the three distribution points on a random sample of 45 days. The data is given in Table 1 with the following format. Check whether the data supports the first reasons suspected by the marketing team, and state your conclusion. Check whether the data supports the second reason suspected by the marketing team, and state your conclusion. Based on the results of (a) and (b), propose and discuss a concrete distribution policy for this engineering firm Distribution Point A Distribution Point B Distribution Point C High-strength concrete 223 117 201 234 99 102 259 66 130 187 55 153 160 108 183 199 79 170 216 95 169 252 113 169 197 63 160 237 105 162 219 139 143 212 144 209 257 98 181 194 118 210 220 150 192 210 140 156 177 113 172 202 149 166 254 58 181 209 110 148 209 60 169 195 100 144 193 104 173 201 120 190 187 94 177 204 112 158 206 135 155 231 136 169 195 142 190 224 152 133 159 147 139 205 116 137 179 122 155 201 119 121 230 111 169 244 69 166 200 102 162 208 85 109 215 82 184 268 82 180 243 109 164 235 109 147 186 96 102 226 83 138 208 106 111 Stamped concrete 227 148 162 228 117 150 214 95 199 152 155 281 93 199 201 151 170 217 133 145 228 150 231 240 98 170 212 75 94 110 150 174 237 211 98 190 191 134 173 202 62 163 163 151 205 127 138 198 108 118 191 86 104 233 168 126 200 129 118 250 166 170 223 124 157 216 119 101 193 119 178 208 190 124 275 188 173 205 148 185 185 171 132 159 149 145 225 69 162 245 109 145 193 178 186 201 132 141 214 139 115 210 180 169 136 179 144 203 161 202 210 174 127 211 210 200 169 134 134 188 149 134 202 90 212 238 134 170 202 121 96 183 151 89 219 High-performance concrete 161 215 157 109 267 177 148 206 121 116 325 236 145 200 118 146 212 59 210 217 140 95 220 93 142 201 83 146 170 121 178 155 93 156 230 174 119 219 163 204 174 168 179 243 97 153 151 181 178 208 166 193 239 111 134 264 127 163 165 119 139 163 110 126 159 191 201 113 74 159 197 169 114 210 176 146 202 145 154 123 52 209 148 175 134 214 68 132 172 161 129 188 166 141 214 88 194 194 170 161 304 180 151 213 94 102 107 134 200 180 140 203 196 100 100 218 134 177 149 142 141 185 203 45 190 96 67 249 98 181 233 104 145 216 107

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Description: Which concrete is best sold where? The marketing team of an engineering firm noticed that some of their concrete products are having trouble being sold at some of their distribution points. So they decided to investigate the sales for three concrete

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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Which concrete is best sold where? The marketing team of an engineering firm noticed that some of their concrete products are having trouble being sold at some of their distribution points. So they decided to investigate the sales for three concrete types: high-strength concrete, stamped concrete, and high-performance concrete. After consulting with the sales managers at three of their distribution points (A, B and C), they suspected two possibilities as potential reasons for the sales problem. The first is simply that some concrete types just sells better than others. The second is that in general, concrete sells in some places better than in others. So, they thought that if the first reason was true, they would have to just cut down on the production of the concrete types which don’t sell well. But if the second reason was true, then they would just limit normal distribution of concrete to places where it sells well. To clear these issues out they conducted a study. For each one of the three types of concrete they recorded the quantities sold at each of the three distribution points on a random sample of 45 days. The data is given in Table 1 with the following format.

Check whether the data supports the first reasons suspected by the marketing team, and state your conclusion.
Check whether the data supports the second reason suspected by the marketing team, and state your conclusion.
Based on the results of (a) and (b), propose and discuss a concrete distribution policy for this engineering firm

	Distribution Point A	Distribution Point B	Distribution Point C

High-strength concrete	223	117	201
	234	99	102
	259	66	130
	187	55	153
	160	108	183
	199	79	170
	216	95	169
	252	113	169
	197	63	160
	237	105	162
	219	139	143
	212	144	209
	257	98	181
	194	118	210
	220	150	192
	210	140	156
	177	113	172
	202	149	166
	254	58	181
	209	110	148
	209	60	169
	195	100	144
	193	104	173
	201	120	190
	187	94	177
	204	112	158
	206	135	155
	231	136	169
	195	142	190
	224	152	133
	159	147	139
	205	116	137
	179	122	155
	201	119	121
	230	111	169
	244	69	166
	200	102	162
	208	85	109
	215	82	184
	268	82	180
	243	109	164
	235	109	147
	186	96	102
	226	83	138
	208	106	111
Stamped concrete	227	148	162
	228	117	150
	214	95	199
	152	155	281
	93	199	201
	151	170	217
	133	145	228
	150	231	240
	98	170	212
	75	94	110
	150	174	237
	211	98	190
	191	134	173
	202	62	163
	163	151	205
	127	138	198
	108	118	191
	86	104	233
	168	126	200
	129	118	250
	166	170	223
	124	157	216
	119	101	193
	119	178	208
	190	124	275
	188	173	205
	148	185	185
	171	132	159
	149	145	225
	69	162	245
	109	145	193
	178	186	201
	132	141	214
	139	115	210
	180	169	136
	179	144	203
	161	202	210
	174	127	211
	210	200	169
	134	134	188
	149	134	202
	90	212	238
	134	170	202
	121	96	183
	151	89	219
High-performance concrete	161	215	157
	109	267	177
	148	206	121
	116	325	236
	145	200	118
	146	212	59
	210	217	140
	95	220	93
	142	201	83
	146	170	121
	178	155	93
	156	230	174
	119	219	163
	204	174	168
	179	243	97
	153	151	181
	178	208	166
	193	239	111
	134	264	127
	163	165	119
	139	163	110
	126	159	191
	201	113	74
	159	197	169
	114	210	176
	146	202	145
	154	123	52
	209	148	175
	134	214	68
	132	172	161
	129	188	166
	141	214	88
	194	194	170
	161	304	180
	151	213	94
	102	107	134
	200	180	140
	203	196	100
	100	218	134
	177	149	142
	141	185	203
	45	190	96
	67	249	98
	181	233	104
	145	216	107

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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