5) A software engineer in Chicago, who is tired of the weather there, is interested in moving with her family to Sacramento, CA, where the weather is better with, possibly, better career prospects. In making her decision, she is trying to get a sense of the real estate market there, particularly for 3 bedroom houses, and so approaches a real estate company for help. She is specifically interested in the average size (i.e. average square footage) of 3 bedroom houses there, as well as their average price.

The real estate company has done studies of the housing market in various major cities, including Sacramento. For the latter, it has in its database a random sample of 813 houses where, for each house, there is information on several variables such as its area (sq footage), number of bedrooms, price etc. From this random sample, the real estate company extracts the data for 3 bedroom houses (data below) .

a) What is the population of interest to the software engineer b) Which two variables are of interest to her in this population? c) Which two population means are of interest to her? d) Based on the data on 3 bedroom houses in Sacramento, provide a range of highly plausible estimates for each of the two quantities that are of interest to the engineer?

beds	baths	sq__ft	type	price	latitude	longitude
3	1	1167	Residential	68212	38.4789	-121.431
3	1	1122	Condo	89921	38.6626	-121.328
3	2	1104	Residential	90895	38.68166	-121.352
3	1	1177	Residential	91002	38.53509	-121.481
3	2	1146	Residential	98937	38.70091	-121.443
3	2	909	Residential	100309	38.63766	-121.452
3	2	1289	Residential	106250	38.47075	-121.459
3	1	1020	Residential	107502	38.48222	-121.493
3	2	1356	Residential	121630	38.69	-121.463
3	2	1118	Residential	122000	38.70785	-121.321
3	2	1601	Residential	124100	38.62863	-121.488
3	2	901	Residential	125000	38.7015	-121.376
3	2	1088	Residential	126640	38.70974	-121.374
3	1	963	Residential	127281	38.53753	-121.478
3	2	1119	Residential	129000	38.47647	-121.502
3	2	1248	Residential	132000	38.47212	-121.404
3	2	1152	Residential	134555	38.69116	-121.372
3	2	1380	Residential	136500	38.56666	-121.333
3	2	1116	Residential	138750	38.71318	-121.411
3	2	1418	Residential	146250	38.48742	-121.462
3	2	1082	Residential	147308	38.65825	-121.375
3	2	1207	Residential	154000	38.49396	-121.49
3	2	1056	Residential	156896	38.41653	-121.38
3	2	1477	Residential	168000	38.49995	-121.454
3	2	1188	Residential	170000	38.41552	-121.371
3	2	1463	Residential	174250	38.47755	-121.419
3	2	1185	Residential	178480	38.46518	-121.435
3	2	1406	Residential	178760	38.28779	-121.295
3	2	1172	Residential	181000	38.54701	-121.366
3	1	1152	Residential	181872	38.66211	-121.314
3	2	1215	Residential	182716	38.71461	-121.348
3	2	1130	Residential	182750	38.26044	-121.298
3	1	1479	Residential	188741	38.25181	-121.302
3	2	1420	Residential	189000	38.45904	-121.425
3	2	1280	Residential	192067	38.56077	-121.377
3	2	1586	Residential	194000	38.42281	-121.423
3	2	1362	Residential	194818	38.71128	-121.393
3	2	1266	Residential	198000	38.44004	-121.421
3	2	1820	Residential	200000	38.68774	-121.171
3	1	936	Residential	200000	38.66447	-121.327
3	2	1511	Residential	208000	38.65344	-121.535
3	2	1478	Residential	231477	38.4914	-121.444
3	2	1287	Residential	234697	38.5937	-121.311
3	2	2093	Residential	237800	38.54799	-121.28
3	2	1193	Residential	240122	38.69382	-121.441
3	2	2163	Residential	242638	38.40097	-121.448
3	2	1269	Residential	244000	38.4782	-121.413
3	1	958	Residential	244960	38.50252	-121.421
3	2	1305	Residential	250000	38.6654	-121.293
3	2	1843	Residential	254200	38.38692	-121.447
3	2	1541	Residential	260000	38.65625	-121.548
3	1	1018	Residential	260014	38.53151	-121.421
3	2	1672	Condo	265000	38.64888	-121.544
3	2	1380	Residential	265000	38.70832	-120.604
3	1	975	Residential	271742	38.52395	-121.485
3	2	1446	Residential	275086	38.50219	-121.491
3	2	1857	Residential	291000	38.39154	-121.443
3	2	1843	Residential	298000	38.40154	-121.448
3	3	2725	Residential	335750	38.39861	-121.45
3	2	2185	Residential	344250	38.68479	-121.149
3	3	1961	Residential	347029	38.44851	-121.421
3	2	2110	Residential	372000	38.35062	-121.228
3	3	1627	Residential	391000	38.58355	-121.487
3	2	2846	Residential	395000	38.94536	-120.909
3	3	2052	Residential	415000	38.48789	-121.546
3	3	2325	Residential	660000	38.59162	-121.371
3	1	1067	Residential	80000	38.51513	-121.48
3	1	1337	Residential	90000	38.62295	-121.45
3	1	924	Residential	92000	38.51055	-121.415
3	1	1643	Residential	99000	38.58867	-121.374
3	1	1080	Residential	106716	38.24151	-121.312
3	1	1039	Residential	111000	38.52712	-121.435
3	1	1051	Residential	111000	38.67895	-121.379
3	1	1098	Residential	120108	38.58716	-121.296
3	1	1050	Residential	123225	38.51894	-121.43
3	2	1110	Residential	123750	38.63657	-121.46
3	1	888	Residential	125000	38.65045	-121.375
3	2	1120	Residential	125000	38.51467	-121.48
3	2	1080	Residential	126000	38.71798	-121.408
3	1	957	Residential	129000	38.66654	-121.378
3	2	1211	Residential	135000	38.65848	-121.45
3	2	1264	Residential	135500	38.61779	-121.437
3	1	1080	Residential	140000	38.62382	-121.478
3	2	1266	Residential	140000	38.27062	-121.299
3	2	1202	Residential	143500	38.63106	-121.485
3	2	1188	Residential	145000	38.48861	-121.413
3	1	1320	Residential	148500	38.48744	-121.491
3	2	1117	Residential	149000	38.47329	-121.396
3	2	1364	Residential	150000	38.48288	-121.406
3	2	1104	Residential	156000	38.69372	-121.307
3	2	1156	Residential	161653	38.72065	-121.302
3	2	1392	Residential	165000	38.71535	-121.388
3	2	1439	Residential	168000	38.44829	-121.421
3	2	1159	Residential	169000	38.69951	-121.36
3	2	1671	Residential	175000	38.59148	-121.315
3	2	1740	Residential	176250	38.45765	-121.431
3	2	1265	Residential	179000	38.46128	-121.434
3	2	1716	Residential	180400	38.41765	-121.42
3	2	1555	Residential	185000	38.43547	-121.441
3	2	1137	Residential	194000	38.71869	-121.304
3	1	1174	Residential	195000	38.5437	-121.367
3	2	1393	Residential	200000	38.70441	-121.361
3	2	1289	Residential	205000	38.4613	-121.391
3	2	1317	Residential	215000	38.71039	-121.261
3	1	1360	Residential	222381	38.51307	-121.452
3	2	1522	Residential	225000	38.62476	-121.523
3	2	1465	Residential	225000	38.41921	-121.349
3	1	1216	Residential	230000	39.00816	-121.036
3	2	1567	Residential	230000	38.39056	-121.45
3	2	1776	Residential	234000	38.6725	-121.515
3	2	2187	Residential	235000	38.66166	-121.541
3	1	1291	Residential	236250	38.5346	-121.493
3	2	1503	Residential	245000	38.69949	-121.362
3	2	1176	Residential	250000	38.66988	-121.214
3	2	1498	Residential	250000	38.72528	-121.298
3	2	1574	Residential	255000	38.71022	-121.342
3	2	2170	Residential	257729	38.45967	-121.36
3	2	1567	Residential	261000	38.70585	-121.335
3	2	1531	Residential	270000	38.6657	-121.529
3	2	1450	Residential	286013	38.66032	-121.23
3	2	1440	Residential	292000	38.7524	-121.33
3	2	1527	Residential	293993	38.66455	-121.256
3	2	1401	Residential	294000	38.77633	-121.285
3	2	1411	Residential	296769	38.65783	-121.457
3	1	1284	Residential	300000	38.70055	-121.452
3	2	1329	Residential	300000	38.69456	-120.848
3	2	1981	Residential	305000	38.62873	-121.261
3	2	1258	Residential	330000	38.66783	-121.169
3	2	2575	Residential	331000	38.38701	-121.441
3	1	1108	Residential	339000	38.56381	-121.436
3	2	1838	Residential	356000	38.78209	-121.297
3	2	2016	Residential	399000	38.66423	-121.007
3	1	2068	Residential	460000	38.64637	-121.354
3	1	970	Residential	61500	38.62069	-121.461
3	1	1250	Residential	84000	38.63734	-121.433
3	1	1013	Residential	85000	38.49724	-121.424
3	1	1012	Residential	90000	38.48427	-121.489
3	1	1082	Residential	95000	38.6377	-121.454
3	1	1331	Residential	112500	38.68972	-121.378
3	1	1014	Residential	113000	38.62374	-121.413
3	1	966	Residential	114000	38.65941	-121.454
3	1	1174	Residential	116100	38.47009	-121.468
3	2	1207	Residential	119250	38.65613	-121.377
3	2	1366	Residential	120108	38.47019	-121.448
3	1	696	Residential	121725	38.6131	-121.444
3	2	1080	Residential	122000	38.24227	-121.31
3	2	1104	Residential	123000	38.50372	-121.491
3	2	1209	Residential	130000	38.69927	-121.376
3	2	1245	Condo	139500	38.62856	-121.328
3	2	1416	Residential	140000	38.71865	-121.408
3	2	1300	Residential	140800	38.47807	-121.481
3	2	1120	Residential	145000	38.4849	-121.487
3	2	1407	Residential	149600	38.47908	-121.401
3	2	1646	Residential	150000	38.48976	-121.475
3	2	1676	Residential	155000	38.45716	-121.433
3	2	1370	Residential	155435	38.64668	-121.438
3	2	1370	Residential	155500	38.64668	-121.438
3	2	1152	Residential	158000	38.6979	-121.378
3	2	1452	Residential	160000	38.45356	-121.436
3	2	1182	Residential	164000	38.68766	-121.463
3	2	1100	Residential	167000	38.28309	-121.302
3	1	1039	Residential	168000	38.52774	-121.434
3	2	1159	Residential	170000	38.69568	-121.36
3	2	1520	Residential	170000	38.564	-121.32
3	2	1204	Residential	174000	38.26047	-121.303
3	2	1120	Residential	178000	38.65873	-121.357
3	2	1436	Residential	180000	38.44759	-121.427
3	2	1451	Residential	180000	38.55992	-121.353
3	1	1152	Residential	188325	38.72748	-121.257
3	2	1154	Residential	191500	38.74788	-121.311
3	2	1353	Residential	192000	38.65781	-121.465
3	2	1329	Residential	192700	38.70615	-121.325
3	1	1356	Residential	195000	38.54437	-121.37
3	2	1505	Residential	197654	38.64569	-121.453
3	1	1009	Residential	198000	38.68154	-121.356
3	2	1144	Residential	200345	38.46452	-121.428
3	1	1258	Residential	212000	38.69815	-121.298
3	1	998	Residential	215100	38.74679	-121.3
3	2	1758	Residential	217500	38.75615	-121.306
3	2	2142	Residential	218000	38.65847	-121.461
3	2	1516	Residential	222900	38.39825	-121.381
3	1	988	Residential	223139	38.70575	-121.389
3	2	1212	Residential	228327	38.53483	-121.413
3	2	1302	Residential	230000	38.47547	-121.38
3	2	1375	Residential	232000	38.49026	-121.551
3	1	1058	Residential	233641	38.52383	-121.481
3	2	1187	Residential	234000	38.72766	-121.391
3	2	1427	Residential	236073	38.67963	-121.143
3	2	1678	Condo	238000	38.6653	-121.532
3	2	1306	Residential	245000	38.46179	-121.445
3	1	1160	Residential	249862	38.68367	-121.435
3	2	1424	Residential	251000	38.67551	-121.511
3	2	1830	Residential	254172	38.71022	-121.342
3	1	1713	Residential	266000	38.672	-121.324
3	2	1457	Residential	270000	38.39526	-121.438
3	2	1468	Residential	275336	38.47693	-121.378
3	3	1922	Residential	284686	38.58282	-121.489
3	2	1343	Residential	284893	38.71585	-121.317
3	2	1510	Residential	285000	38.78675	-121.21
3	2	1624	Residential	289000	38.67329	-120.879
3	2	1248	Residential	297359	38.46499	-121.387
3	2	1394	Residential	313138	38.47316	-121.404
3	2	1410	Residential	316630	38.46819	-121.376
3	3	2442	Residential	331000	38.40676	-121.432
3	2	1810	Residential	345746	38.47543	-121.373
3	2	1800	Residential	362305	38.67342	-121.509
3	1	1683	Residential	365000	38.5536	-121.459
3	2	1179	Residential	378000	38.39033	-121.448
3	1	1639	Residential	388000	38.54174	-121.48
3	2	1697	Residential	400000	38.57489	-121.436
3	2	1691	Residential	430922	38.82553	-121.255
3	2	2274	Residential	470000	38.73988	-121.249
3	3	2503	Residential	484500	38.40969	-121.446
3	2	1905	Residential	500000	38.69435	-121.177
3	2	1320	Residential	506688	38.86271	-121.162
3	2	2025	Residential	677048	38.73745	-120.911
3	2	1166	Residential	30000	38.71532	-121.315
3	2	1089	Residential	95625	38.46694	-121.456
3	2	1320	Residential	115500	38.5634	-121.328
3	2	1410	Residential	115620	38.66017	-121.44
3	2	1115	Residential	116000	38.59368	-121.316
3	2	1169	Residential	122000	38.49218	-121.503
3	2	1164	Residential	122500	38.49199	-121.478
3	2	1219	Residential	124000	38.65555	-121.464
3	2	1272	Residential	124413	38.68606	-121.37
3	2	1120	Residential	130000	38.4773	-121.412
3	2	1260	Residential	137760	38.62305	-121.486
3	2	1400	Residential	138000	38.4873	-121.443
3	1	1264	Residential	140000	38.61901	-121.415
3	1	1060	Residential	145000	38.52202	-121.439
3	2	1466	Residential	150000	38.47212	-121.46
3	2	1092	Residential	150000	38.55964	-121.323
3	2	960	Residential	155000	38.68747	-121.349
3	2	1075	Residential	155800	38.69586	-121.301
3	2	1428	Residential	156142	38.55493	-121.355
3	2	1410	Residential	160000	38.68924	-121.268
3	2	1711	Residential	161500	38.70968	-121.382
3	2	1140	Residential	162000	38.28205	-121.296
3	2	1410	Residential	165000	38.46749	-121.377
3	2	1240	Residential	167293	38.43408	-121.433
3	2	1669	Residential	168750	38.71846	-121.371
3	1	1029	Residential	168750	38.54437	-121.371
3	1	1103	Residential	170000	38.71641	-121.306
3	2	2161	Residential	170250	38.47934	-121.373
3	2	1650	Residential	173000	38.46678	-121.451
3	1	1320	Residential	175000	38.77491	-120.598
3	2	1200	Residential	176095	38.55328	-121.346
3	2	1170	Residential	176250	38.68271	-121.502
3	2	1199	Residential	178000	38.70799	-121.303
3	2	1157	Residential	180000	38.60868	-121.278
3	2	1410	Residential	180000	38.64621	-121.443
3	2	1174	Residential	180000	38.73414	-121.3
3	2	1593	Residential	181000	38.44617	-121.428
3	2	1093	Residential	182000	38.68279	-121.454
3	2	1770	Residential	182587	38.72446	-121.293
3	2	1124	Residential	185833	38.45384	-121.358
3	2	1638	Residential	187000	38.47605	-121.495
3	2	1328	Residential	188335	38.60986	-121.492
3	2	1273	Residential	190000	38.43124	-121.44
3	1	1082	Residential	190000	38.65943	-121.455
3	2	1386	Residential	191250	38.47824	-121.446
3	2	1452	Residential	193000	38.58993	-121.299
3	2	1513	Residential	193500	38.47049	-121.454
3	1	1473	Residential	195000	38.61106	-121.37
3	1	1150	Residential	198000	38.53273	-121.469
3	2	1127	Residential	199900	38.61802	-121.51
3	1	1144	Residential	200000	38.66424	-121.304
3	1	972	Residential	201000	38.62263	-121.331
3	2	1479	Residential	205000	38.72408	-121.358
3	2	1430	Residential	205878	38.64173	-121.413
3	2	1120	Residential	209000	38.68195	-121.505
3	2	1232	Residential	210000	38.64081	-121.534
3	2	1351	Residential	215000	38.41056	-121.404
3	2	1300	Residential	216033	38.68826	-120.81
3	2	1261	Residential	220000	38.40489	-121.444
3	2	1338	Residential	222000	38.42391	-121.439
3	2	1441	Residential	225000	38.63888	-121.532
3	2	1094	Residential	229000	38.44318	-121.364
3	2	1462	Residential	230095	38.79803	-121.235
3	2	1074	Residential	233000	38.59675	-121.313
3	2	1686	Residential	239000	38.67156	-121.521
3	2	1962	Residential	240971	38.44331	-121.435
3	2	1789	Residential	243450	38.45575	-121.349
3	2	1235	Residential	246544	38.72077	-121.377
3	2	1676	Residential	247000	38.65727	-121.31
3	2	1367	Residential	249000	38.70897	-121.325
3	2	1636	Residential	250000	38.42885	-121.416
3	2	1828	Residential	250000	38.6277	-121.37
3	2	1451	Residential	255000	38.44285	-121.373
3	1	1520	Residential	255000	38.59945	-121.4
3	2	1506	Residential	255000	38.77665	-121.34
3	2	1196	Residential	260000	38.67941	-121.219
3	2	1621	Residential	260000	38.89918	-121.323
3	2	1811	Residential	263500	38.67919	-121.538
3	2	1540	Residential	266510	38.38771	-121.437
3	2	1543	Residential	275000	38.39746	-121.468
3	2	1650	Residential	276500	38.84412	-121.275
3	2	1443	Residential	280000	38.66266	-121.317
3	2	1857	Residential	285000	38.39792	-121.45
3	2	1735	Residential	288000	38.41719	-121.474
3	2	1720	Residential	290000	38.56787	-121.411
3	2	1457	Residential	300000	38.90593	-120.975
3	2	1577	Residential	300567	38.80054	-121.261
3	2	1401	Residential	305000	38.71549	-121.263
3	2	1502	Residential	310000	38.61837	-121.326
3	2	1327	Residential	310000	38.65162	-121.132
3	2	1360	Residential	315000	38.60657	-121.368
3	2	1276	Residential	320000	38.52512	-121.519
3	2	1548	Residential	328370	38.29012	-121.286
3	3	2212	Residential	334000	38.67486	-121.496
3	2	1616	Residential	335000	38.6677	-121.209
3	2	2960	Residential	350000	38.70951	-121.359
3	2	2172	Residential	350000	38.79246	-121.276
3	2	2100	Condo	350000	38.76215	-121.283
3	2	1795	Residential	351000	38.48321	-121.54
3	1	1727	Residential	380000	38.24766	-121.515
3	2	1485	Residential	380578	38.42914	-121.423
3	2	1655	Residential	386222	38.62993	-121.323
3	2	2049	Residential	395500	38.73787	-121.249
3	2	2334	Residential	415000	38.63411	-121.353
3	1	1493	Residential	425000	38.57933	-121.443
3	2	3173	Residential	525000	38.65074	-121.259
3	1	1348	Residential	545000	38.58894	-121.374
3	2	1092	Residential	85500	38.64472	-121.452
3	1	1058	Residential	95000	38.48824	-121.473
3	2	1040	Residential	97750	38.62884	-121.446
3	2	1354	Residential	104000	38.48437	-121.463
3	1	1051	Residential	105000	38.67928	-121.377
3	1	1161	Residential	109000	38.51189	-121.458
3	1	1004	Residential	110000	38.6474	-121.433
3	1	1229	Residential	110000	38.66959	-121.38
3	2	1249	Residential	112500	38.48013	-121.488
3	2	1161	Residential	114800	38.47959	-121.484
3	1	1010	Residential	116000	38.46555	-121.427
3	2	1269	Residential	122000	38.47709	-121.411
3	2	1093	Residential	127059	38.54609	-121.458
3	1	962	Residential	128687	38.50734	-121.416
3	2	1089	Residential	129500	38.46639	-121.459
3	2	1127	Residential	130000	38.52049	-121.411
3	2	1144	Residential	134000	38.46238	-121.427
3	1	1000	Residential	134000	38.59305	-121.303
3	2	1206	Residential	142000	38.70618	-121.38
3	1	1285	Residential	143012	38.60359	-121.417
3	2	1543	Residential	145846	38.47756	-121.384
3	1	1019	Residential	148750	38.54117	-121.458
3	2	1217	Residential	151087	38.46616	-121.448
3	2	1670	Residential	157296	38.72587	-121.359
3	2	1302	Residential	157500	38.47378	-121.494
3	2	1488	Residential	160000	38.50203	-121.456
3	2	1373	Residential	160000	38.68536	-121.377
3	2	1265	Residential	164000	38.46282	-121.433
3	1	1344	Residential	166000	38.68155	-121.313
3	2	1202	Residential	169000	38.63429	-121.485
3	2	1104	Residential	170000	38.89317	-121.305
3	2	1232	Residential	170000	38.47585	-121.477
3	1	1638	Residential	170725	38.49082	-121.402
3	2	1582	Residential	172000	38.62279	-121.499
3	2	1340	Residential	174000	38.43392	-121.422
3	2	1204	Residential	174250	38.62457	-121.487
3	1	960	Residential	185000	38.66725	-121.241
3	2	1428	Residential	188700	38.63434	-121.486
3	1	1039	Residential	189000	38.53014	-121.437
3	1	1529	Residential	189000	38.66745	-121.236
3	2	1294	Residential	191250	38.68701	-121.254
3	2	1638	Residential	191675	38.47757	-121.493
3	2	1677	Residential	195500	38.46734	-121.42
3	1	1073	Residential	198000	38.70072	-121.313
3	2	1231	Residential	200000	38.65139	-121.45
3	2	1175	Residential	200000	38.42442	-121.44
3	2	1416	Residential	200000	38.45208	-121.366
3	2	1358	Residential	201528	38.68197	-121.5
3	2	1296	Residential	205900	38.62337	-121.348
3	2	1371	Residential	208250	38.73788	-121.308
3	1	1310	Residential	208318	38.69428	-121.373
3	2	1262	Residential	209347	38.25971	-121.312
3	2	1517	Residential	212000	38.72296	-121.347
3	2	1450	Residential	213000	38.46784	-121.41
3	2	1416	Residential	216000	38.4514	-121.367
3	1	888	Residential	216021	38.50822	-121.411
3	2	1882	Residential	219000	38.71542	-121.247
3	2	1302	Residential	219794	38.39089	-121.438
3	2	1418	Residential	220000	38.4245	-121.427
3	1	1040	Residential	224000	38.62947	-121.376
3	1	960	Residential	224252	38.70355	-121.375
3	1	1456	Residential	225000	38.70306	-121.235
3	2	1450	Residential	228000	38.38976	-121.446
3	2	1358	Residential	229027	38.89781	-121.325
3	2	1262	Residential	230000	38.41738	-121.484
3	2	1477	Residential	234000	38.49989	-121.459
3	2	1216	Residential	235000	38.70882	-121.257
3	2	1362	Residential	235738	38.65525	-121.076