t1t0714640????106.25%q1q0840800q1?(mt1t0714640450?)?0?840?(?)??29.4(万元) q1q0t0840800640 ? 基期每个生产工人的产值③ 由于工人劳动生产率变动对总产值的影响： m1m0650450????130%t1t0714640q1?mt1m714650450?(1?0)?840??(?)?149.94q1t1t0840714640
? 144.44%?105%?106.25%?130% ; 200?22.4?29.4?149.9413.
?q1m1p1?1006.84?106.33%原材料费用总额指数??q0m0p0946.9 绝对数： ?q1m1p1??q0m0p0?1006.84?946.9?59.94(元)?qmp?1044.25?110.28%?qmp946.9 绝对数： ?qmp??qmp?1044.25?946.9?97.35(元)?qmp?1040.6?99.65% 每吨产品原材料消耗变动影响： ?qmp1044.25 绝对数： ?qmp??qmp?1040.6?1044.25??3.65(元)qmp1006.84?每吨原材料价格变动影响： ??96.76%?qmp1040.6 绝对数： ?qmp??qmp?1006.84?1040.6??33.76(元)产量变动影响： 100000100000110100110100111110111110
? 106.％＝33110.％28?99.6％5?96.7％6 5 9 . 9＝497.3-53.6-533.7元6)( 14.
f1x1?f1?496.30?102.77%?f0482.93x0x??0f?0?x1? ?x1?
ff1??x0?0?496.30?482.93?13.37(元)?f1?f0f1x??1f496.30?1?固定构成指数??112.86?439.73?x0?f?1 ?x1?f1f??x0?1?496.30?439.73?56.57(元)?f1?f1
f1?f1?439.73?91.05%结构影响指数?f0482.93x??0f?0?x0? ?x0?
ff1??x0?0?439.73?482.93??43.2(元) ?f1?f0? 1 02.77?2.86?9%1.05 % 1 3 . 3?756.5-743.215. 各期的原材料费用总额计算如下：
?Q1M1P1?120?1.05?45?120?0.48?22?46?2.1?45?46?0.19?22 ?11476.48(元)?QM000P?100?1.1?40?100?0.5?15?40?2?40?40?0.2?15
?8470(元)?QM1100P?120?1.1?40?120?0.5?15?46?2?40?46?0.2?15?120?1.05?40?120?0.48?15?46?2.1?40?46?0.19?15
?9998(元)?QMP10 ? 9 8 9.19(元)因而，有原材料费用总额指数??QMP?QMP1000001100?11476.48?135.50?70 产品产量指数??QMP?9998?118.04%?QMP8470?QMP?9899.1?99.01%单耗总指数??QMP9998?QMP?11476.48?115.93%价格总指数??QMP9899.110110100111110
即原材料费用总额报告期比基期多支出35.5％，绝对额增加了?QMP??QM111000P?11476.48?8470?3006.48(元)
产量报告期比基期增长了18.04％，绝对额增加了?QM1100P??Q0M0P0?9998?8470?1528(元)100
每吨产品材料消耗量报告期比基期降低了0.99％，绝对额变动了?QMP??QM101111P?9899.1?9998??98.9(元)?11476.48?9899.1?1577.38(元)材料价格报告期比基期增长了15.93％，绝对额增加了?QMP??QMP
10所以相对数和绝对数因数分析的指数体系为相对数：135.50％?118.04%?99.01%?115.93%绝对数：11476.48?8470?(9998?8470)?(9899.1?9998)?(11476.48?9899.1) 3006.48?1528?(?98.9)?1577.38
第六章 抽样调查
1. (1)N=5000,000 n=500
X??xf?926.4 σ?55.21?fσ2n55.21250055.212μx?(1?)??(1?)?2.47 μx??2.47
nN5005000,000500t?3 Δ?tμx?3?2.47?7.41 918.99?X?933.81p?0.4% p(1-p)?0.4%?(1-0.4%)?0.4%?99.6%μp?0.4%?99.6P00.4%?99.6%(1?)?0.0028 μp??0.00285005000,000500
(2) Δ?tμ?1?0.0028?0.00280.004?0.0028?P?0.004?0.00280.0012?P?0.0068 即0.12%?P?0.68%
2. (1)
190P??95 0p(1?p)0.95?0.05?p???0.015n200由F(t)?95.45% t?2 ?p?t??p?2?0.015?0.03?3%
p??p?P?p??p 95%-3%?P?95%?3% 92%?P?98% (2)
10P??0.05?5 0p(1?p)0.05?0.95?p???0.015n200由F(t)?95.45% t?2 ?p?t??p?2?0.015?0.03?3%
p??p?P?p??p 5%-3%?P?5%?3% 2%?P?8%
3. (1)
15?0.06?6%0p(1?p)0.06?0.94?p???0.015?1.5%n250由F(t)?68.27% t?1 ?p?t??p?1?1.5%?1.5% P? p??p?P?p??p 6%-1.5%?P?6%?1.5% 4.5%?P?7.5% (2)
由F(t)?95.45% t?2 ?p?t?μp?2?1.5%?3% p?Δp?P?p?Δp 6%-3%?P?6%?3% 3%?P?9%
4. (1)
t?1 ??0.015 p(1- p)?2%?(1-2%)?0.0196 1?98%?2%n??88块()20.01598%?2%(2) n??22(块) 20.03
5.
?Xf32?600?36?300X???33.33f600?300?222?σifi20?600?30?300????566.7 600?300?fi2
566.7?0.79 4 Δ ? tμx?2?0.79?41.588n90031.74?2X?34.918μx???2
6. p
N?1000,000? n
μp?p(1?p)n(1?)?nN3.32?00 ? p2?%?(11000?2%2% t32%)(1?1000)?0.00442 1000,00032%?0.004?42?3?P0.68%??P7.
0.0?0442