Discuss the below:
Q: The US energy administration publishes data on residential energy consumption and expenditures in residential consumption survey: consumption and expenditures. Suppose you want to decide whether last years mean annual mean expenditure for house holds using natural gas is different from that for house holds using only electricity. At the 5% significance level what conclusion would you draw given the data in dollars shown in the following table?
Natural Gas:
2002,1338,1478,1305,1636,1557,1456,1495,1376,1458,1698,1491,1394,1526, 1579,1369,1249,1505,1541,1385,1375,1495,1377,1355,1321,1801,1664,1507, 1648,1574
Electricity:
1376,1327,1168,1014,1379,1177,949,1456,1452,1059,1070,1461,987,1150,1351, 1235,1400,1180,1102,1002,1352,1259,1480,1227,1221,976,1532,1266,1179,1185, 1102,1351,1394,1450,1109,1393