stats220 week8 homework example
TRANSCRIPT
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8/18/2019 Stats220 Week8 Homework Example
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0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
-2.3
0.8492
1.080
Distribution PlotNormal, Mean=0, StDev=1
P291 $29%
0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
-3.27
0.07440
-1.44 0
Distribution PlotNormal, Mean=0, StDev=1
P291 $29!
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0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
1.2&
0.093&&
2.320
Distribution PlotNormal, Mean=0, StDev=1
P291 $29'
0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
0.54
0.7054
0
Distribution PlotNormal, Mean=0, StDev=1
P291 $33
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0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
0.13
0.5517
0
Distribution PlotNormal, Mean=0, StDev=1
P291 $34
0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
0.14
0.4443
0
Distribution PlotNormal, Mean=0, StDev=1
P291 $38
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0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
-1.03&
0.15
1.03&
0.15
0
Distribution PlotNormal, Mean=0, StDev=1
P292 $42
0.4
0.3
0.2
0.1
0.0
X
D e n s i t y
-1.282
0.1
1.282
0.1
0
Distribution PlotNormal, Mean=0, StDev=1
P292 $43
P.300-303
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0.025
0.020
0.015
0.010
0.005
0.000
X
D e n s i t y
100
0.007395
&1
Distribution PlotNormal, Mean=&1, StDev=1&
P300 $20a
0.025
0.020
0.015
0.010
0.005
0.000
X
D e n s i t y
80
0.8825
&1
Distribution PlotNormal, Mean=&1, StDev=1&
P300 $20%
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0.0025
0.0020
0.0015
0.0010
0.0005
0.0000
X
D e n s i t y
1100
0.08540
1200 1387
Distribution PlotNormal, Mean=1387, StDev=1&1
P301 $32a
0.0025
0.0020
0.0015
0.0010
0.0005
0.0000
X
D e n s i t y
1500
0.2414
1387
Distribution PlotNormal, Mean=1387, StDev=1&1
P301 $32%
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0.0025
0.0020
0.0015
0.0010
0.0005
0.0000
X
D e n s i t y
1550
0.1557
1387
Distribution PlotNormal, Mean=1387, StDev=1&1
P301 $32! No, t s not
0.020
0.015
0.010
0.005
0.000
X
D e n s i t y
85
0.74&9
14099.7
Distribution PlotNormal, Mean=99.7, StDev=20
P301 $3&%
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0.020
0.015
0.010
0.005
0.000
X
D e n s i t y
110
0.&9&7
99.7
Distribution PlotNormal, Mean=99.7, StDev=20
P301 $3&!
0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
48
0.05480
40
Distribution PlotNormal, Mean=40, StDev=5
P301 $39a
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0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
38
0.3812
4340
Distribution PlotNormal, Mean=40, StDev=5
P302 $39%
0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
4&
0.8849
40
Distribution PlotNormal, Mean=40, StDev=5
P302 $39!
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0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
34.13
0.12
40
Distribution PlotNormal, Mean=40, StDev=5
P302 $41a
0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
42.34
0.&8
40
Distribution PlotNormal, Mean=40, StDev=5
P302 $41%
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0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
3&.&3
0.25
40
Distribution PlotNormal, Mean=40, StDev=5
P302 $41!
0.09
0.08
0.07
0.0&
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
29.73
0.02
40
Distribution PlotNormal, Mean=40, StDev=5
P302 $41' 29,730 mles
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0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
90
0.03040
75
Distribution PlotNormal, Mean=75, StDev=8
P302 $48a
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
&5
0.105&
75
Distribution PlotNormal, Mean=75, StDev=8
P302 $48%
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0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
70
0.4&80
8075
Distribution PlotNormal, Mean=75, StDev=8
P302 $48!
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
72.97
0.4
75
Distribution PlotNormal, Mean=75, StDev=8
P302 $50a
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0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
78.08
0.&5
75
Distribution PlotNormal, Mean=75, StDev=8
P302 $50%
0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
85.25
0.1
75
Distribution PlotNormal, Mean=75, StDev=8
P302 $50!
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0.05
0.04
0.03
0.02
0.01
0.00
X
D e n s i t y
&8.27
0.2
81.73
0.2
75
Distribution PlotNormal, Mean=75, StDev=8
P302 $50'
P.309-310
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
X
D e n s i t y
3
0.4437
2.83
Distribution PlotNormal, Mean=2.83, StDev=1.2
P309 $19a
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0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
X
D e n s i t y
2.5
0.1&47
3
2.83
Distribution PlotNormal, Mean=2.83, StDev=1.2
P309 $19%
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
X
D e n s i t y
2.201
0.3
2.83
Distribution PlotNormal, Mean=2.83, StDev=1.2
P309 $19!
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0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
X
D e n s i t y
2.50.3917
2.83
Distribution PlotNormal, Mean=2.83, StDev=1.2
P309 $19' No
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
X
D e n s i t y
2
0.244&
2.83
Distribution PlotNormal, Mean=2.83, StDev=1.2
P309 $19e No, at 24( )or 2 *+s t s not nsal
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0.0009
0.0008
0.0007
0.000&
0.0005
0.0004
0.0003
0.0002
0.0001
0.0000
X
D e n s i t y
2700
0.4451
2&31
Distribution PlotNormal, Mean=2&31, StDev=500
P309 $22a
0.0009
0.0008
0.0007
0.000&
0.0005
0.0004
0.0003
0.0002
0.0001
0.0000
X
D e n s i t y
2500
0.078&2
2&00
2&31
Distribution PlotNormal, Mean=2&31, StDev=500
P309 $22%
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0.0009
0.0008
0.0007
0.000&
0.0005
0.0004
0.0003
0.0002
0.0001
0.0000
X
D e n s i t y
2758
0.&
2&31
Distribution PlotNormal, Mean=2&31, StDev=500
P309 $22!
0.0009
0.0008
0.0007
0.000&
0.0005
0.0004
0.0003
0.0002
0.0001
0.0000
X
D e n s i t y
2800
0.3&77
2&31
Distribution PlotNormal, Mean=2&31, StDev=500
P309 $22' No, not nsal
P309 $22e
No 3&( o) aartments "ave a rent ""er t"an /2800.
P309 $23a
200 l%s.
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0.00&
0.005
0.004
0.003
0.002
0.001
0.000
X
D e n s i t y
200
0.4&48
194
Distribution PlotNormal, Mean=194, StDev=&8
P209 $23%
0.005
0.004
0.003
0.002
0.001
0.000
X
D e n s i t y
200
0.3201
1&4
Distribution PlotNormal, Mean=1&4, StDev=77
P309 $23!
P310 $24a
203 l%s.
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0.00&
0.005
0.004
0.003
0.002
0.001
0.000
X
D e n s i t y
203 0.4474
194
Distribution PlotNormal, Mean=194, StDev=&8
P310 $24%
0.005
0.004
0.003
0.002
0.001
0.000
X
D e n s i t y
203
0.30&3
1&4
Distribution PlotNormal, Mean=1&4, StDev=77
310 $24!
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0.014
0.012
0.010
0.008
0.00&
0.004
0.002
0.000
X
D e n s i t y
38
0.4470
42
Distribution PlotNormal, Mean=42, StDev=30
P310 $25a
0.014
0.012
0.010
0.008
0.00&
0.004
0.002
0.000
X
D e n s i t y
40
0.0&&40
4542
Distribution PlotNormal, Mean=42, StDev=30
P310 $25%
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0.014
0.012
0.010
0.008
0.00&
0.004
0.002
0.000
X
D e n s i t y
0.&49.&0
42
Distribution PlotNormal, Mean=42, StDev=30
P310 $25!
0.014
0.012
0.010
0.008
0.00&
0.004
0.002
0.000
X
D e n s i t y
35
0.4078
42
Distribution PlotNormal, Mean=42, StDev=30
P310 $25'
P310 $25e
No, 40( o) eole srvee' s"ol' "ave an n!ome o) less t"en (35,000.
Week &
P.3&7-3&9
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One-Sample TP367 Q24a N Mean StDev SE Mean 95% CI
45 111.70 13.80 2.06 (107.55, 115.85)
P3&7 $24%
es, t"e er lmt )or t"e s 115.85 mntes. Wt" a mean tme o) 129 mntes
t"e )ar e6!ee' t"e averae rn tme.
One-Sample TP367 Q25a N Mean StDev SE Mean 95% CI
45 80.50 51.20 7.63 (65.12, 95.88)
$25%
ol' e6e!t t"e rane to %e narroer. larer samle se t" t"e same
arameters ol' s"o less varaton allon )or a %etter more !on:'ent rane.
One-Sample T: C1P367 Q30aVaria!e N Mean StDev SE Mean 98% CI
C1 12 14.0650 0.0614 0.0177 (14.0168, 14.1132)
30b
No, the data show that less than 2% of boxes will be less then 14 oz.
P3&8 $35a
es, o "ave t"e 'ata.
One-Sample T: C1P368 Q35bVaria!e N Mean StDev SE Mean 95% CI
C1 18 3.583 1.359 0.320 (2.908, 4.259)
35
!his "# s$o&t the N#' &eo&t, 3.51 falls within the "# &an(e of 2.)08*4.25).
P3&9 $43
a 14 D;<
% No, t"e o) 95( s %ase' on a normal olaton 'str%ton.
P3&9 $44
a 70 D;<
% No, t"e o) 95( s %ase' on a normal olaton 'str%ton.
P379-380
$20a
32.4(
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Test and CI for One ProportionP37) Q20bSa"#!e $ N Sa"#!e # 98% CI
1 162 500 0.324000 (0.275883, 0.374957)
$20!
No, ots'e o) rane.
P379 $23a32.9&7(
Test and CI for One ProportionP37) Q23bSa"#!e $ N Sa"#!e # 98% CI
1 60 182 0.329670 (0.250394, 0.416574)
$23!
No, ots'e o) rane.
Test and CI for One Proportion
P37) Q26aSa"#!e $ N Sa"#!e # 90% CI
1 26 42 0.619048 (0.480497, 0.744426)
Test and CI for One ProportionP37) Q26bSa"#!e $ N Sa"#!e # 98% CI
1 26 42 0.619048 (0.428561, 0.786351)
P37) Q26
#t (et wide&.
Test and CI for One Proportion
P380 Q31aSa"#!e $ N Sa"#!e # 90% CI
1 42 200 0.210000 (0.163593, 0.262973)
$31%
arer %e!ase o) less samles.
$37a
98(, 0.732082 an' 0.870128
Test and CI for One ProportionP380 Q37b
Sa"#!e $ N Sa"#!e # 90% CI1 145 181 0.801105 (0.745961, 0.848686)
$38a
98(, 0.4&111 an' 0.&&2854
Test and CI for One ProportionP380 Q38bSa"#!e $ N Sa"#!e # 99% CI
1 31 58 0.534483 (0.360327, 0.702842)
P.43&-438
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One-Sample TP436 Q1) N Mean StDev SE Mean 95% CI
1019 22.800 17.900 0.561 (21.700, 23.900)
+es it does.
One-Sample TP346 Q20 N Mean StDev SE Mean 99% CI
1324 2.9800 2.6600 0.0731 (2.7914, 3.1686)
No, he o$ld be &i(ht. 3.0 is within the "# &an(e.
P43& $22a
es t"e 'ata s t"ere.
One-Sample T: C1P346 Q22bVaria!e N Mean StDev SE Mean 95% CI
C1 8 12.150 0.400 0.142 (11.815, 12.485)
I &'! a"#!e "&re *an, 't t+e "a*+ine ee" t& &r a intene.
4.0
3.5
3.0
2.5
2.0
1.5
1.0
C 1
P347 Q25a
One-Sample T: C1
-347 25/et & "' 2 v n&t 2
Varia!e N Mean StDev SE Mean 95% CI / -
C1 8 2.531 0.917 0.324 (1.764, 3.298) 1.64 0.145
P438 $30
a nll not 1&, alt 1&
% 0.171
! -1.48
' 10
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e re>e!t
)