Data set VALID.DAT, provides estimated daily consumption of total fat, saturated fat, and alcohol as well as total caloric intake using two different methods of dietary assessment for 173 subjects. a. Calculate the 95% CI for the mean total fat, saturated fat, and alcohol intake based on the diet record from this population. b. Comment on your result. c. One issue is that people with higher total caloric intake generally have higher intakes of specific nutrients. One way to normalize nutrient intake is to compute Caloric-adjusted total fat = %calories from total fat = total fat (g) *9 /total calorie intake Similarly, Caloric-adjusted saturated fat = %calories from saturated fat = saturated fat (g) *9 /total calorie intake. Calculate the 95% CI for the mean Caloric-adjusted saturated fat and Caloric-adjusted total fat intake based on the diet record from this population. d. Comment on your result.

DATA

Id	sfat_dr	sfat_ffq	tfat_dr	tfat_ffq	alco_dr	alco_ffq	cal_dr	cal_ffq
100396	33.2	21.2	81.15	53.8	8.26	1.68	1807	1242.2
100566	17.73	10.6	53.28	36.6	0.83	0	1418	907
107633	38.73	23.8	83.48	47.2	20.13	15.1	1889	786
107737	21.57	22.7	49.65	55.3	11.16	7.49	1426	1392.5
107744	21.35	30.4	55.18	71	7.18	12.84	1253	1259.8
107813	28.04	15.1	73.83	41.1	1.76	0	1699	987.1
107825	23.17	17.8	68.29	49.1	22.66	25.06	1700	1189.9
107879	19.73	19.1	58.3	48.9	0	0	1369	1364.1
108618	36.31	23.4	92.58	55.4	0	0	2163	1311.4
109000	20.87	16	68.44	44.2	0	0	1609	1200.6
109259	26.4	19.4	69.16	46.6	4.75	1.06	1704	1227.4
109565	28.26	27.4	79.42	59.7	4.57	1.81	1884	1448.1
109856	19.81	15.8	69.59	50.5	15.12	11.14	1518	1367.7
109885	23.48	19.9	65.86	55.6	5.37	2.57	1450	1154.4
109908	25.62	17.4	74.22	51.7	0	0	1702	1217.7
110108	23.59	9.5	63.44	23.4	1.89	0.76	1400	483.4
110360	14.6	20.9	38.14	46.9	0.78	5.7	910	1056.5
110406	20.71	27.7	49.77	70.1	8.09	10.56	1332	1265.3
110419	28.63	15.3	80.73	35.3	37.9	35.34	1947	890.1
110483	18.12	20.7	53.56	55.7	2.22	0.76	1428	1378.5
110579	16.93	17.6	52.75	51.5	20.69	18.22	1557	1317.5
110714	25.1	18.9	80.15	57.5	0	0	1788	1257.5
111040	14.04	14.9	39.4	37	2.62	1.68	1098	1087.8
111220	21.98	32.6	54.91	73.2	9.49	6.49	1362	1589.6
111536	24.83	24	67.73	63.1	9.69	16.72	1562	1422.7
111538	20.72	15.6	55.24	47.6	0.95	1.51	1286	1569.6
111799	24.61	24.2	68.11	54.4	3	2.74	1529	1386
111970	32.03	38.2	71.02	98.8	37.28	45.08	1810	2220
112071	23.49	18.8	63.72	55.8	21.78	33.49	1606	1291.4
112087	25.69	23.5	67.99	68	15.41	12.91	1363	1102
112163	23.65	21.3	64.61	46.8	7.85	0.76	1457	943.2
112226	23.45	13.9	60.13	31.8	0.39	0	1233	731.4
112650	46.36	33.3	104.91	88.1	29.81	64.75	2285	1878.9
112738	16.04	17.6	44.23	40.6	0	0	1183	1326.6
112812	38.68	17.8	98.14	55.8	6.77	2.57	2176	1635.4
112862	24.1	15.9	64.21	41.5	5.97	2.74	1587	1035.5
112896	27.92	16.7	91.37	53.5	0.85	0	2029	1548.3
112982	26.26	24.1	70.44	61.9	5.23	5.7	1484	1376.3
113429	26.46	21	76.06	57.7	2.26	2.11	1685	1460.5
113436	22.02	19.5	61.13	63.8	7.79	1.06	1440	1970.2
113441	24.51	25.9	62.6	60.7	7.75	11.14	1293	1350.3
113525	20.06	16.1	55.5	49.9	10.86	10.75	1433	1326.3
113613	34.14	38.5	93.04	93.5	22.44	11.38	2333	2253.5
113882	24.38	18.2	67.02	48.7	4.49	12.06	1402	1139.9
114053	14.38	5.6	41.09	14.8	5.2	4.55	923	463.2
114129	17.74	15.2	54.07	48.4	0.38	0.76	1330	1498.4
114353	27.83	16.5	78.26	36.7	5.17	3.79	1731	946.7
114865	29.17	24.8	84.52	71.1	0	0	1636	1396.7
115013	15.94	12.8	45.89	38	22.89	8.64	1311	1078.4
115223	28.33	27.2	75.96	88.4	2.93	0.76	1769	1996.8
115399	15.18	11.6	49.44	30.7	0.05	0	1481	1051.9
115512	22.51	31.2	68.28	78.7	4.75	5.7	1649	2100.3
115601	46.01	17.4	119.83	49.5	10.12	5.57	2334	988.7
115724	27.15	16.9	80.54	37.7	17.9	8.93	1823	1025.7
115764	25.47	15.8	75.54	41.6	0	1.81	1548	1259.6
115806	27.99	17.5	69.13	40.7	3.35	0.76	1456	825.1
115822	25.28	17	68.36	48.6	10.04	2.87	1535	1047
115875	26.58	14.8	77.83	40.1	17.27	15.86	1718	726.9
115879	28.72	35.8	74.26	76	0	0	1641	1961.6
116007	24.62	34.6	66.12	66	8.15	13.76	1402	1434.4
116164	26.46	18	78.2	48.8	27.55	34.42	2143	1464.4
116263	29.57	14.4	69.8	33.5	0.6	0	1490	768.7
116413	20.39	23.7	48.85	56.5	22.31	12.06	1221	1698.5
116461	14.68	13.6	52.24	40.3	4.4	2.11	1255	758.3
116528	23.43	25.6	71.16	62.4	1.99	0.76	1555	1462
129518	20.74	23.7	61.82	68.8	0	0	1374	1592.4
129729	21.76	19.3	63.73	56.3	0.38	0	1593	1661.5
129732	21.58	13.8	64.25	40.9	0.8	1.81	1491	1249.3
129743	39.3	32.7	109.83	78.5	0.14	0.76	2505	2282.1
129765	21.95	21	59.74	52.9	12.03	10.75	1560	1152.1
129813	21.9	11.9	67.87	38.3	10.35	3.63	1661	979.9
130757	28.65	13.6	78.99	41	5.84	0.76	1742	1253
130786	30.01	33.4	79.13	82.8	17.22	12.99	1680	1799.2
130793	29.35	23.9	98.96	75.6	5.97	4.64	2096	1873.2
130847	21.56	8.8	72.02	34.6	2.79	0	1438	811.8
130863	18.83	40.6	54.78	100	20.5	37.75	1325	1940.4
131023	36.16	18.5	100.56	52.6	8.65	4.55	2051	1219.8
131100	31.2	29.3	92.12	70.5	10.41	16.72	2050	1644.5
131126	29.06	23.5	80.52	67.9	7.12	6.76	1707	1933.5
131129	21.79	14.6	68.42	45.2	12.97	16.06	1502	1120.8
132293	29.6	30.3	70.98	78.9	8.75	4.64	1691	1470.5
132303	12.71	12.1	35.9	32.3	3.45	1.51	940	842.3
132316	22.16	14.8	70.33	45.6	3.11	0.76	1591	1156.4
132327	22.61	13.8	65.19	34.6	2.69	0.76	1769	1539.8
132328	27.08	18.8	70.95	43.7	49.15	27.75	2054	1330.9
132361	17.92	15.2	49.72	41.9	0.57	0	1514	1509.9
132382	31.41	30.4	90.21	74.1	31.26	11.14	1989	1506.5
132390	33.25	25.8	87.69	73.9	11.13	11.38	1968	1795.5
132426	32.19	54.9	86.35	133.5	4.67	2.87	1781	2263.5
132621	25.17	7.5	70.2	18.4	15.69	11.14	1761	513.6
132622	34.34	19	86.68	44.7	23.44	43.75	1639	1124.7
132624	25.11	24.2	69.86	63.1	4.6	16.72	1445	1340.3
132638	45.31	47.1	106.4	93.8	0.03	0	2260	2047.8
132662	18.59	12.5	45.37	29.5	19.38	29.92	1107	811.1
133002	28.34	35.5	71.45	80	0.77	0	1878	2136
133079	18.75	11.8	60.54	36.4	8.49	7.25	1612	1251.2
133094	24.37	39	67.73	109.3	0.79	0	1669	3077.3
133317	18.33	19.1	64.53	56.1	11.15	6.63	1533	1415.3
133372	17.26	20	42.53	41.4	13.11	12.84	1149	1055.8
133443	16.73	57.4	54.07	119	0	0	1555	2691
133497	24.78	11.8	73.18	28	0	0	1470	662.4
133507	16.74	5.7	54.84	16.5	4.17	2.57	1620	932.5
133533	15.3	17.1	51.96	41.4	6.68	3.63	1122	1100.2
133606	27.74	26.6	82.71	70.9	0.4	0.76	1994	1530.5
133615	26.4	14.8	80.64	40.8	1.58	0.76	1940	902.4
133637	26.76	20.4	70.67	47	3.44	0	1472	954.2
133676	17.73	19.4	52.62	55.1	3.7	3.79	1388	1504.7
133692	25.97	24.3	65.65	52	4.88	1.98	1683	1333.6
133833	18.57	14	53.18	37.4	7.31	4.64	1226	798.2
133925	26.48	17.3	72.45	37.9	25.74	28.06	1679	912.3
133987	26.98	23.2	64.35	60.9	32.64	28.85	1583	1210.5
134013	33.26	27.6	80.79	62.3	1.14	2.57	2229	1637.1
134021	19.03	11.2	47.56	29	0.9	0	1321	1254.6
134047	16	13.6	49.35	37.7	2.25	0	1162	1046.1
134103	27.59	17	72.49	34.8	16.61	10.8	1761	1009.6
134119	22.32	13.2	64.53	31	1.27	1.85	1376	730.6
134129	26.83	19.9	77.98	49.5	2.2	1.06	1689	1130.7
134144	36.44	36.8	94.53	89.3	16.51	11.86	2010	1870.1
134223	26.25	43.4	73.74	89.8	6.92	10.32	1815	2425.4
134350	30.92	20.2	82.98	51.8	17.76	15.86	1779	1187.8
134385	27.5	9.8	74.55	25.5	1.84	0.76	2038	782.3
134431	34.25	18.8	77.12	41.9	40.11	46.39	1973	1187.9
134486	23.79	28.7	62.49	67.8	32.72	56.39	1870	2166.6
134495	23.56	36.9	72.11	105	1.89	2.57	1936	2497
134519	20.46	7.5	58.42	21.1	27.86	43.32	1619	757.5
134550	24.16	21.8	69.11	60.4	13.62	19.74	1757	1297.6
134553	23.42	31.5	72.08	90.4	9.92	7.55	1582	1837.6
134566	26.4	14.5	72.99	36.1	5.04	4.64	1670	956.9
134598	24.09	14.9	61.17	35.2	12.95	9.3	1454	878.4
134611	25.25	20.5	56.16	42.6	9.43	12.08	1616	1144.2
134622	23.34	41.1	66.51	113.2	0	0	1371	2921.6
134835	16.61	21.6	49.65	56.8	27.26	27	1388	1227.6
134838	39.36	22.7	99.1	45.8	18.69	39.26	2425	891.8
134839	23.66	18.3	55.86	41	28.28	25.9	1280	842.6
134845	40.59	48.4	108.72	107.5	6.99	6.63	2376	2539.5
135002	34.04	37.4	82.11	91.1	0	0	1885	2389.5
135009	18.94	37	56.34	90.7	12.48	12.91	1302	1713.9
135026	21.41	23.4	52.2	60.2	4.21	4.42	1016	936.6
135126	18	24.1	46.44	61.2	12.18	11.86	963	1307.6
135130	21.04	24.8	58.92	67	0	0	1501	1466.6
135146	11.82	11.5	38.59	28.9	2.18	0.76	1026	991.7
135172	27.39	20.8	79.63	58.1	1.76	0	1820	1532.9
135182	34.61	34.3	98.94	104.6	2.17	2.87	2087	2279.8
135201	19.79	22.6	57.7	62.1	1.43	4.64	1299	1228.1
135258	21.34	16.7	57.3	33.9	14.23	6.76	1524	854.3
135262	18.79	25.7	57.33	76.6	1.39	2.87	1450	1975.8
135313	18.63	6.6	61.11	20.7	2.98	5.7	1340	601.1
135324	20.39	16.9	62.54	48	3.77	1.06	1634	1140.4
135330	18.64	14.9	53.56	44.2	8.1	11.14	1608	1520.6
135351	15.39	12.1	50.4	33.7	13.79	5.57	1649	922.9
135372	31.35	24.9	91.65	72.8	28.29	39.26	2013	1394.8
135391	23.62	23.3	62.62	59.3	15.6	10.75	1626	1706.9
135465	27.51	42.8	81.29	112.3	6.97	6.63	1732	2447.5
135472	41.01	18.3	114.85	41.7	0	0	2518	1323.7
135488	15.99	20.6	48.25	50.2	8.18	6.63	1561	1399.8
135530	17.48	18.8	50.43	46.5	0.51	0	1485	1739.3
135547	31.35	35.3	76.92	75.1	7.82	12.08	1767	1627.5
135559	17.64	17.8	45.39	38.5	6.6	11.14	1006	922.5
135588	39.43	26.4	98.34	77.9	28.79	52.07	2085	1602.7
135596	30.98	28.8	73.8	70.3	3.82	1.81	1588	1570.3
135619	32.86	41.2	84.85	92.5	0	0	1682	2074.9
135769	26.24	26.4	72.73	60.7	8.31	2.91	2121	2039.1
135829	20.07	25.9	65.41	87.6	8.22	13.76	1568	1958.8
135834	14.42	11.3	40.64	29.6	0.96	0.76	1216	1043.6
135848	29.59	29.9	71.41	67.6	0.63	0	1612	1327.6
135869	28.02	15.5	77.82	40.5	15.72	16.81	1827	1026.9
136104	25.85	23.7	70.89	75	23.97	12.43	1721	1584.6
136377	20.2	20.3	51.99	52	7.28	6.63	1467	1342.4
136378	36.19	18.1	95.43	47.1	4.6	7.25	1976	1204.3
136407	22.42	10.9	62.15	32	2.56	1.81	1731	981.6
136421	16.98	20.4	42.85	47.5	13.91	8.64	1033	1128.3
137461	23.98	18.5	67.43	45.9	5.39	7.19	1585	1247.5
184093	21.39	19	56.7	40.4	0.6	3.49	1320	994