In: Statistics and Probability
Use the Housing Interest Rate database (see DATA at bottom of this question)
In this part using Housing Interest Rate database, the objective is to compare the variation in the FIXED_RATE between two periods; before 2000 and after year 2000.
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DATA:
YEAR | MONTH | FIXED_RATE% | STARTS in $100 | # Houses SOLD |
1990 | 1 | 9.81 | 1551 | 45 |
1990 | 2 | 9.97 | 1437 | 50 |
1990 | 3 | 10.03 | 1289 | 58 |
1990 | 4 | 10.14 | 1248 | 52 |
1990 | 5 | 10.22 | 1212 | 50 |
1990 | 6 | 10.21 | 1177 | 50 |
1990 | 7 | 10.2 | 1171 | 46 |
1990 | 8 | 9.99 | 1115 | 46 |
1990 | 9 | 9.99 | 1110 | 38 |
1990 | 10 | 10.06 | 1014 | 37 |
1990 | 11 | 10.11 | 1145 | 34 |
1990 | 12 | 9.87 | 969 | 29 |
1991 | 1 | 9.75 | 798 | 30 |
1991 | 2 | 9.62 | 965 | 40 |
1991 | 3 | 9.45 | 921 | 51 |
1991 | 4 | 9.47 | 1001 | 50 |
1991 | 5 | 9.52 | 996 | 47 |
1991 | 6 | 9.49 | 1036 | 47 |
1991 | 7 | 9.49 | 1063 | 43 |
1991 | 8 | 9.52 | 1049 | 46 |
1991 | 9 | 9.33 | 1015 | 37 |
1991 | 10 | 9.1 | 1079 | 41 |
1991 | 11 | 8.77 | 1103 | 39 |
1991 | 12 | 8.58 | 1079 | 36 |
1992 | 1 | 8.35 | 1176 | 48 |
1992 | 2 | 8.46 | 1250 | 55 |
1992 | 3 | 8.65 | 1297 | 56 |
1992 | 4 | 8.71 | 1099 | 53 |
1992 | 5 | 8.68 | 1214 | 52 |
1992 | 6 | 8.52 | 1145 | 53 |
1992 | 7 | 8.28 | 1139 | 52 |
1992 | 8 | 8.09 | 1226 | 56 |
1992 | 9 | 7.92 | 1186 | 51 |
1992 | 10 | 7.92 | 1244 | 48 |
1992 | 11 | 8.06 | 1214 | 42 |
1992 | 12 | 8.18 | 1227 | 42 |
1993 | 1 | 8.08 | 1210 | 44 |
1993 | 2 | 7.86 | 1210 | 50 |
1993 | 3 | 7.67 | 1083 | 60 |
1993 | 4 | 7.56 | 1258 | 66 |
1993 | 5 | 7.48 | 1260 | 58 |
1993 | 6 | 7.48 | 1280 | 59 |
1993 | 7 | 7.34 | 1254 | 55 |
1993 | 8 | 7.24 | 1300 | 57 |
1993 | 9 | 7.08 | 1343 | 57 |
1993 | 10 | 6.93 | 1392 | 56 |
1993 | 11 | 6.99 | 1376 | 53 |
1993 | 12 | 7.2 | 1533 | 51 |
1994 | 1 | 7.19 | 1272 | 46 |
1994 | 2 | 7.14 | 1337 | 58 |
1994 | 3 | 7.32 | 1564 | 74 |
1994 | 4 | 7.68 | 1465 | 65 |
1994 | 5 | 8.15 | 1526 | 65 |
1994 | 6 | 8.33 | 1409 | 55 |
1994 | 7 | 8.36 | 1439 | 52 |
1994 | 8 | 8.5 | 1450 | 59 |
1994 | 9 | 8.5 | 1474 | 54 |
1994 | 10 | 8.64 | 1450 | 57 |
1994 | 11 | 8.79 | 1511 | 45 |
1994 | 12 | 8.9 | 1455 | 40 |
1995 | 1 | 9.06 | 1407 | 47 |
1995 | 2 | 8.96 | 1316 | 47 |
1995 | 3 | 8.82 | 1249 | 60 |
1995 | 4 | 8.6 | 1267 | 58 |
1995 | 5 | 8.3 | 1314 | 63 |
1995 | 6 | 7.88 | 1281 | 64 |
1995 | 7 | 7.76 | 1461 | 64 |
1995 | 8 | 7.88 | 1416 | 63 |
1995 | 9 | 7.82 | 1369 | 54 |
1995 | 10 | 7.71 | 1369 | 54 |
1995 | 11 | 7.63 | 1452 | 46 |
1995 | 12 | 7.51 | 1431 | 45 |
1996 | 1 | 7.28 | 1467 | 54 |
1996 | 2 | 7.24 | 1491 | 68 |
1996 | 3 | 7.47 | 1424 | 70 |
1996 | 4 | 7.82 | 1516 | 70 |
1996 | 5 | 8.05 | 1504 | 69 |
1996 | 6 | 8.17 | 1467 | 65 |
1996 | 7 | 8.27 | 1472 | 66 |
1996 | 8 | 8.19 | 1557 | 73 |
1996 | 9 | 8.2 | 1475 | 62 |
1996 | 10 | 8.12 | 1392 | 56 |
1996 | 11 | 7.92 | 1489 | 54 |
1996 | 12 | 7.77 | 1370 | 51 |
1997 | 1 | 7.87 | 1355 | 61 |
1997 | 2 | 7.87 | 1486 | 69 |
1997 | 3 | 7.91 | 1457 | 81 |
1997 | 4 | 8.1 | 1492 | 70 |
1997 | 5 | 8.14 | 1442 | 71 |
1997 | 6 | 8 | 1494 | 71 |
1997 | 7 | 7.79 | 1437 | 69 |
1997 | 8 | 7.69 | 1390 | 72 |
1997 | 9 | 7.69 | 1546 | 67 |
1997 | 10 | 7.57 | 1520 | 62 |
1997 | 11 | 7.5 | 1510 | 61 |
1997 | 12 | 7.41 | 1566 | 51 |
1998 | 1 | 7.24 | 1525 | 64 |
1998 | 2 | 7.19 | 1584 | 75 |
1998 | 3 | 7.19 | 1567 | 81 |
1998 | 4 | 7.21 | 1540 | 82 |
1998 | 5 | 7.21 | 1536 | 82 |
1998 | 6 | 7.2 | 1641 | 83 |
1998 | 7 | 7.13 | 1698 | 75 |
1998 | 8 | 7.09 | 1614 | 75 |
1998 | 9 | 6.97 | 1582 | 68 |
1998 | 10 | 6.82 | 1715 | 69 |
1998 | 11 | 6.85 | 1660 | 70 |
1998 | 12 | 6.88 | 1792 | 61 |
1999 | 1 | 6.89 | 1748 | 67 |
1999 | 2 | 6.92 | 1670 | 76 |
1999 | 3 | 7.01 | 1710 | 84 |
1999 | 4 | 7.05 | 1553 | 86 |
1999 | 5 | 7.09 | 1611 | 80 |
1999 | 6 | 7.34 | 1559 | 82 |
1999 | 7 | 7.59 | 1669 | 78 |
1999 | 8 | 7.79 | 1648 | 78 |
1999 | 9 | 7.87 | 1635 | 65 |
1999 | 10 | 7.87 | 1608 | 67 |
1999 | 11 | 7.87 | 1648 | 61 |
1999 | 12 | 7.9 | 1708 | 57 |
2000 | 1 | 8.08 | 1636 | 67 |
2000 | 2 | 8.27 | 1737 | 78 |
2000 | 3 | 8.31 | 1604 | 88 |
2000 | 4 | 8.27 | 1626 | 78 |
2000 | 5 | 8.35 | 1575 | 77 |
2000 | 6 | 8.43 | 1559 | 71 |
2000 | 7 | 8.29 | 1463 | 76 |
2000 | 8 | 8.16 | 1541 | 73 |
2000 | 9 | 8.03 | 1507 | 70 |
2000 | 10 | 7.95 | 1549 | 71 |
2000 | 11 | 7.85 | 1551 | 63 |
2000 | 12 | 7.68 | 1532 | 65 |
2001 | 1 | 7.31 | 1600 | 72 |
2001 | 2 | 7.13 | 1625 | 85 |
2001 | 3 | 7.06 | 1590 | 94 |
2001 | 4 | 7.09 | 1649 | 84 |
2001 | 5 | 7.18 | 1605 | 80 |
2001 | 6 | 7.21 | 1636 | 79 |
2001 | 7 | 7.21 | 1670 | 76 |
2001 | 8 | 7.13 | 1567 | 74 |
2001 | 9 | 6.97 | 1562 | 66 |
2001 | 10 | 6.76 | 1540 | 66 |
2001 | 11 | 6.67 | 1602 | 67 |
2001 | 12 | 6.89 | 1568 | 66 |
2002 | 1 | 7.02 | 1698 | 66 |
2002 | 2 | 6.98 | 1829 | 84 |
2002 | 3 | 6.98 | 1642 | 90 |
2002 | 4 | 7.11 | 1592 | 86 |
2002 | 5 | 6.99 | 1764 | 88 |
2002 | 6 | 6.87 | 1717 | 84 |
2002 | 7 | 6.72 | 1655 | 82 |
2002 | 8 | 6.53 | 1633 | 90 |
2002 | 9 | 6.36 | 1804 | 82 |
2002 | 10 | 6.23 | 1648 | 77 |
2002 | 11 | 6.2 | 1753 | 73 |
2002 | 12 | 6.21 | 1788 | 70 |
2003 | 1 | 6.09 | 1853 | 76 |
2003 | 2 | 6.02 | 1629 | 82 |
2003 | 3 | 5.9 | 1726 | 98 |
2003 | 4 | 5.9 | 1643 | 91 |
2003 | 5 | 5.74 | 1751 | 101 |
2003 | 6 | 5.5 | 1867 | 107 |
2003 | 7 | 5.53 | 1897 | 99 |
2003 | 8 | 5.88 | 1833 | 105 |
2003 | 9 | 6.19 | 1939 | 90 |
2003 | 10 | 6.05 | 1967 | 88 |
2003 | 11 | 6.06 | 2083 | 76 |
2003 | 12 | 6 | 2057 | 75 |
2004 | 1 | 5.92 | 1927 | 89 |
2004 | 2 | 5.85 | 1852 | 102 |
2004 | 3 | 5.71 | 2007 | 123 |
2004 | 4 | 5.72 | 1968 | 109 |
2004 | 5 | 6.07 | 1974 | 115 |
2004 | 6 | 6.25 | 1827 | 105 |
2004 | 7 | 6.26 | 1986 | 96 |
2004 | 8 | 6.1 | 2025 | 102 |
2004 | 9 | 5.9 | 1912 | 94 |
2004 | 10 | 5.91 | 2062 | 101 |
2004 | 11 | 5.89 | 1807 | 84 |
2004 | 12 | 5.9 | 2050 | 83 |
2005 | 1 | 5.9 | 2188 | 92 |
2005 | 2 | 5.9 | 2228 | 109 |
2005 | 3 | 5.98 | 1836 | 128 |
2005 | 4 | 6.09 | 2038 | 122 |
Question 1 : solved completed.
Descriptive statistics
Step 1 : Put the data in excel as shown.
Step 2 : Go to Data -> Data Analysis -> Descriptive
statistics.
Step 3 : Input the values as shown.
Step 4 : The output will be generated as follows
We see that the mean and median are equal indicating the data is normally distributed.
checking for empirical distribution.
The details step and calculation is shown below
Question 2 : not clearly about the sampling techique with regard to before and after 2000.