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Pages:
1 page/≈275 words
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Level:
Other
Subject:
Visual & Performing Arts
Type:
Statistics Project
Language:
English (U.S.)
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Date:
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Topic:

Statistics Analysis Paper (Statistics Project Sample)

Instructions:

It was to make some statistical computations in Analysis of Variance

source..
Content:


X1

X2

X2

X2

X3

X23

X4

X24


39.31

1545.2761

36.69

1346.1561

38.99

1520.2201

40.04

1603.2016


39.87

1589.6169

40

1600.0000

40.02

1601.6004

39.89

1591.2121


39.87

1589.6189

41.01

1681.8201

39.99

1599.2001

39.93

1594.4049










Sum

SX1=119.05

SX21=4,724.5119

SX2=117.7

SX22=4,627.9762

SX3=119

SX23=4,721.0206

SX4=119.86

SX24=4,788.8186

(SX)2

14,172.9025


13,853.29


14,161


14,366.4196


QUESTION 1
SSTOTAL= (4,724.5119+4,627.9762+4,721.0206+4,788.8186) – (119.05+117.7+119+119.8)2 /12
=18,862.3273- 18,845.65021=16.6770917
SSAMONG= (14,172.9025/3 +13,853.29/3+14161/3+14,366.4196/3) - (119.05+117.7+119+119.8)2 /12
=4,724.300833+4,617.763333+4,720.333333+4,788.806533- 18,845.65021
=18,851.20403-18,845.65021=5.553822
SSWITHIN=16.6770917-5.553822=11.1232697
DF (among) =3
Ms (among)=SSamong/3=5.553822/3=1.851274
DF (within) =8
Ms (within) =SSwithin /8=11.1232697/8=1.390408713
F=ms among/ mswithin=1.851274/1.390408713=1.331460298
F must be at least 1.3315 to reach alpha<0.05.
Therefore there exists significant difference in the performance of the four grades of gas.
QUWSTION 2
F=Variation among sample means/variation within individual observation in the same sample





Dispenser

mean

Standard deviation

n


A

203

3

10


B

205

6

9







MSG=3(203-204)2 +3(205-204)2 /1=6
MSE= (4-1)32 +(4-1)62 /(19-2)=7.941176471
F=6/7.941176471=0.755555555
With the level of significance at 0.05, F is greater than the level of significance. Therefore the variability of dispenser B exceeds that of dispenser A.
QUEASTION 3
ENTRANCE

FREQUENCY

(x-mean)

(x-mean)2


NORTH

135

10

100


EAST

145

20

400


SOUTH

115

-10

100


WEST

105

-20

400


TOTAL

500


1000


Mean=500/4=125
H0: entrance are equally utilized
H1: entrances not equally utilized
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  • Statistics Analysis Paper
    Description: It was to make some statistical computations in Analysis of Variance...
    1 page/≈275 words| Other | Visual & Performing Arts | Statistics Project |
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