Stats220 Week8 Homework Example

8/18/2019 Stats220 Week8 Homework Example

1/28


2/28

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


P291 $29!


3/28

0.4

0.3

0.2

0.1

0.0

X

D e n s i t y

1.2&

0.093&&

2.320


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


P291 $33


4/28

0.4

0.3

0.2

0.1

0.0

X

D e n s i t y

0.13

0.5517

0


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


P291 $38


5/28

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


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


P292 $43

P.300-303


6/28

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%


7/28

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


P301 $32%


8/28

0.0025

0.0020

0.0015

0.0010

0.0005

0.0000

X

D e n s i t y

1550

0.1557

1387


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&%


9/28

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


P301 $39a


10/28

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


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


P302 $39!


11/28

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


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


P302 $41%


12/28

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


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


P302 $41' 29,730 mles


13/28

0.05

0.04

0.03

0.02

0.01

0.00

X

D e n s i t y

90

0.03040

75


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


P302 $48%


14/28

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


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


P302 $50a


15/28

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


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


P302 $50!


16/28

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


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


17/28

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


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


P309 $19!


18/28

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


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


P309 $19e No, at 24( )or 2 *+s t s not nsal


19/28

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


P309 $22%


20/28

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


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


P309 $22' No, not nsal

P309 $22e

No 3&( o) aartments "ave a rent ""er t"an /2800.

P309 $23a

200 l%s.


21/28

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


P309 $23!

P310 $24a

203 l%s.


22/28

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


310 $24!


23/28

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


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


P310 $25%


24/28

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


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


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


25/28

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(


26/28

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(


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)


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


27/28

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


28/28

e re>e!t

)

Stats220 Week8 Homework Example

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