• What is the 95% confidence interval for the mean milk production of each milk
ID: 2924927 • Letter: #
Question
• What is the 95% confidence interval for the mean milk production of each milk cow in California from 1990 through 2005?
• If a milk cow in California produced a mean of 1,875 pounds of milk per month, what percentage of production would that cow be in compared to the overall production per milk cow in California from 1990 through 2005?
Milk Cows & Production California Pounds of Milk Production Year Period Milk Cows (000) per Cow (000,000 lbs) 1990 Jan 1118 1485 1660 1990 Feb 1122 1360 1526 1990 Mar 1126 1580 1779 1990 Apr 1130 1560 1763 1990 May 1133 1640 1858 1990 Jun 1136 1580 1795 1990 Jul 1138 1605 1826 1990 Aug 1140 1590 1813 1990 Sep 1142 1520 1736 1990 Oct 1144 1540 1762 1990 Nov 1146 1480 1696 1990 Dec 1148 1510 1733 1991 Jan 1150 1535 1765 1991 Feb 1152 1430 1647 1991 Mar 1153 1585 1828 1991 Apr 1154 1555 1794 1991 May 1155 1620 1871 1991 Jun 1156 1560 1803 1991 Jul 1156 1585 1832 1991 Aug 1157 1595 1845 1991 Sep 1157 1500 1736 1991 Oct 1157 1530 1770 1991 Nov 1158 1495 1731 1991 Dec 1159 1540 1785 1992 Jan 1160 1540 1786 1992 Feb 1164 1465 1705 1992 Mar 1169 1605 1876 1992 Apr 1171 1570 1838 1992 May 1174 1625 1908 1992 Jun 1177 1680 1860 1992 Jul 1182 1605 1897 1992 Aug 1187 1550 1840 1992 Sep 1191 1525 1816 1992 Oct 1193 1575 1879 1992 Nov 1196 1520 1818 1992 Dec 1198 1560 1869 1993 Jan 1202 1515 1821 1993 Feb 1204 1400 1686 1993 Mar 1207 1585 1913 1993 Apr 1210 1575 1906 1993 May 1212 1640 1988 1993 Jun 1214 1575 1912 1993 Jul 1218 1640 1998 1993 Aug 1220 1630 1989 1993 Sep 1222 1570 1919 1993 Oct 1224 1600 1958 1993 Nov 1226 1540 1888 1993 Dec 1228 1585 1946 1994 Jan 1230 1630 2005 1994 Feb 1233 1490 1837 1994 Mar 1236 1710 2114 1994 Apr 1239 1705 2112 1994 May 1243 1770 2200 1994 Jun 1247 1715 2139 1994 Jul 1251 1740 2177 1994 Aug 1254 1725 2163 1994 Sep 1259 1675 2109 1994 Oct 1263 1710 2160 1994 Nov 1267 1640 2078 1994 Dec 1270 1685 2140 1995 Jan 1272 1660 2112 1995 Feb 1275 1515 1932 1995 Mar 1279 1690 2162 1995 Apr 1283 1660 2130 1995 May 1287 1730 2227 1995 Jun 1291 1645 2124 1995 Jul 1296 1685 2184 1995 Aug 1300 1655 2152 1995 Sep 1305 1580 2062 1995 Oct 1309 1620 2121 1995 Nov 1314 1545 2030 1995 Dec 1319 1585 2091 1996 Jan 1322 1595 2109 1996 Feb 1326 1505 1996 1996 Mar 1329 1635 2173 1996 Apr 1335 1620 2163 1996 May 1341 1665 2233 1996 Jun 1347 1590 2142 1996 Jul 1351 1615 2182 1996 Aug 1356 1570 2129 1996 Sep 1362 1570 2138 1996 Oct 1367 1620 2215 1996 Nov 1373 1570 2156 1996 Dec 1378 1605 2212 1997 Jan 1382 1575 2177 1997 Feb 1384 1465 2028 1997 Mar 1385 1705 2361 1997 Apr 1387 1700 2358 1997 May 1389 1740 2417 1997 Jun 1390 1665 2314 1997 Jul 1391 1715 2386 1997 Aug 1392 1700 2366 1997 Sep 1394 1620 2258 1997 Oct 1395 1685 2351 1997 Nov 1397 1620 2263 1997 Dec 1400 1645 2303 1998 Jan 1402 1670 2341 1998 Feb 1406 1480 2081 1998 Mar 1408 1665 2344 1998 Apr 1411 1640 2314 1998 May 1414 1720 2432 1998 Jun 1417 1635 2317 1998 Jul 1421 1625 2309 1998 Aug 1424 1595 2271 1998 Sep 1428 1530 2185 1998 Oct 1432 1650 2363 1998 Nov 1436 1590 2283 1998 Dec 1438 1655 2380 1999 Jan 1443 1690 2439 1999 Feb 1444 1555 2245 1999 Mar 1451 1795 2605 1999 Apr 1455 1770 2575 1999 May 1457 1825 2659 1999 Jun 1464 1710 2503 1999 Jul 1468 1710 2510 1999 Aug 1470 1770 2602 1999 Sep 1476 1705 2517 1999 Oct 1480 1760 2605 1999 Nov 1482 1715 2542 1999 Dec 1484 1780 2642 2000 Jan 1493 1815 2710 2000 Feb 1500 1705 2558 2000 Mar 1506 1820 2741 2000 Apr 1510 1810 2733 2000 May 1516 1845 2797 2000 Jun 1523 1755 2673 2000 Jul 1529 1820 2783 2000 Aug 1536 1745 2680 2000 Sep 1541 1685 2597 2000 Oct 1547 1735 2684 2000 Nov 1553 1665 2586 2000 Dec 1558 1735 2703 2001 Jan 1563 1760 2751 2001 Feb 1566 1615 2529 2001 Mar 1570 1790 2810 2001 Apr 1575 1770 2788 2001 May 1581 1825 2885 2001 Jun 1586 1755 2783 2001 Jul 1591 1770 2816 2001 Aug 1596 1765 2817 2001 Sep 1602 1690 2707 2001 Oct 1607 1745 2804 2001 Nov 1613 1685 2718 2001 Dec 1619 1735 2809 2002 Jan 1624 1755 2850 2002 Feb 1628 1625 2646 2002 Mar 1633 1835 2997 2002 Apr 1638 1800 2948 2002 May 1642 1880 3087 2002 Jun 1646 1810 2979 2002 Jul 1652 1815 2998 2002 Aug 1656 1815 3006 2002 Sep 1662 1705 2834 2002 Oct 1664 1770 2945 2002 Nov 1666 1695 2824 2002 Dec 1667 1770 2951 2003 Jan 1672 1790 2993 2003 Feb 1676 1655 2774 2003 Mar 1681 1850 3110 2003 Apr 1685 1800 3033 2003 May 1685 1835 3092 2003 Jun 1684 1765 2972 2003 Jul 1690 1755 2966 2003 Aug 1693 1755 2971 2003 Sep 1695 1670 2831 2003 Oct 1698 1720 2921 2003 Nov 1694 1665 2821 2003 Dec 1697 1740 2953 2004 Jan 1701 1760 2994 2004 Feb 1706 1675 2858 2004 Mar 1710 1815 3104 2004 Apr 1716 1790 3072 2004 May 1720 1830 3148 2004 Jun 1724 1755 3026 2004 Jul 1729 1780 3078 2004 Aug 1733 1775 3076 2004 Sep 1737 1715 2979 2004 Oct 1740 1770 3080 2004 Nov 1741 1700 2960 2004 Dec 1741 1775 3090 2005 Jan 1739 1770 3078 2005 Feb 1742 1635 2848 2005 Mar 1744 1850 3226 2005 Apr 1747 1825 3188 2005 May 1751 1880 3292 2005 Jun 1753 1815 3182 2005 Jul 1756 1780 3126 2005 Aug 1759 1795 3157 2005 Sep 1762 1750 3084 2005 Oct 1765 1785 3151 2005 Nov 1770 1725 3053 2005 Dec 1771 1795 3179Explanation / Answer
Mean milk produced per cow is 1669.3
SD is 105.3
95% confidence interval is (mean -2*SD,mean+2*SD)
Which is (1669.3-2*105.3,1669.3+2*105.3)
The cow would be above 97.46% of the other cows in terms of milk production
(1458.7,1879.9)
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