EBK STATISTICS FOR MANAGEMENT AND ECONO
EBK STATISTICS FOR MANAGEMENT AND ECONO
11th Edition
ISBN: 9781337516723
Author: KELLER
Publisher: YUZU
Question
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Chapter 14.1, Problem 3E

(a)

To determine

Compute the ANOVA table.

(a)

Expert Solution
Check Mark

Explanation of Solution

Table -1 shows the statistics values as follows:

Table -1

StatisticTreatment
1234
n10141118
x¯30353340
s210101010

x¯=10(30)+14(35)+11(33)+18(40)10+14+11+18=300+490+363+72053=1,87353=35.34

SST can be calculated as follows:

SST=nj(xj¯x¯)=10(3035.34)2+14(3535.34)2+11(3335.34)+18(4035.34)2=737.9

SSE can be calculated as follows:

SSE=(nj1)sj2=(101)10+(141)10+(111)10+(181)10=490

Thus, the value of SSE is 490

Table -2 shows the ANOVA Table as follows:

Table -2
SourceDegree of freedomSum of squareMean squareF
Treatmentsk-1 = 3SST = 737.924624.6
Errorn- k = 49SSE = 49010 

(b)

To determine

Compute the ANOVA table if sample means is 130,135,133 and 140.

(b)

Expert Solution
Check Mark

Explanation of Solution

x¯=10(130)+14(135)+11(133)+18(140)10+14+11+18=1,300+1,890+1,463+2,52053=7,17353=135.34

SST can be calculated as follows:

SST=nj(xj¯x¯)=10(130135.34)2+14(135135.34)2+11(133135.34)2+18(140135.34)2=737.9

SSE can be calculated as follows:

SSE=(nj1)sj2=(101)10+(141)10+(111)10+(181)10=610

Thus, the value of SSE is 610

Table -3 shows the ANOVA Table as follows:

Table -3
SourceDegree of freedomSum of squareMean squareF
Treatmentsk-1 = 3SST = 737.924624.60
Errorn- k = 49SSE = 49010 

(c)

To determine

Explain the F- statistic

(c)

Expert Solution
Check Mark

Explanation of Solution

From the above calculation, when the sample means changes, then there is no change in F- statistic.

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Chapter 14 Solutions

EBK STATISTICS FOR MANAGEMENT AND ECONO

Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - Prob. 40ECh. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Prob. 69ECh. 14.2 - Prob. 70ECh. 14.2 - Prob. 71ECh. 14.2 - Prob. 72ECh. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.2 - Prob. 76ECh. 14.2 - Prob. 77ECh. 14.2 - Prob. 78ECh. 14.2 - Prob. 79ECh. 14.2 - Prob. 80ECh. 14.2 - Prob. 81ECh. 14.2 - Prob. 82ECh. 14.4 - Prob. 83ECh. 14.4 - Prob. 84ECh. 14.4 - Prob. 85ECh. 14.4 - Prob. 86ECh. 14.4 - Prob. 87ECh. 14.4 - Prob. 88ECh. 14.4 - Prob. 89ECh. 14.4 - Prob. 90ECh. 14.4 - Prob. 91ECh. 14.4 - Prob. 92ECh. 14.4 - Prob. 93ECh. 14.4 - Prob. 94ECh. 14.4 - Prob. 95ECh. 14.4 - Prob. 96ECh. 14.4 - Prob. 97ECh. 14.4 - Prob. 98ECh. 14.4 - Prob. 99ECh. 14.5 - Prob. 100ECh. 14.5 - Prob. 101ECh. 14.5 - Prob. 102ECh. 14.5 - Prob. 103ECh. 14.5 - Prob. 104ECh. 14.5 - Prob. 105ECh. 14.5 - Prob. 106ECh. 14.5 - Prob. 107ECh. 14.5 - Prob. 108ECh. 14.5 - Prob. 109ECh. 14.6 - Prob. 110ECh. 14.6 - Prob. 111ECh. 14.6 - Prob. 112ECh. 14.A - Prob. 1ECh. 14.A - Prob. 2ECh. 14.A - Prob. 3ECh. 14.A - Prob. 4ECh. 14.A - Prob. 5ECh. 14.A - Prob. 6ECh. 14.A - Prob. 7ECh. 14.A - Prob. 8ECh. 14.A - Prob. 9ECh. 14.A - Prob. 10ECh. 14.A - Prob. 11ECh. 14.A - Prob. 12ECh. 14.A - Prob. 13ECh. 14.A - Prob. 14ECh. 14.A - Prob. 15ECh. 14.A - Prob. 16ECh. 14.A - Prob. 17ECh. 14.A - Prob. 18ECh. 14.A - Prob. 19ECh. 14.A - Prob. 20ECh. 14.A - Prob. 21ECh. 14.A - Prob. 22ECh. 14.A - Prob. 23ECh. 14.A - Prob. 24ECh. 14.A - Prob. 25ECh. 14.A - Prob. 26ECh. 14.A - Prob. 27ECh. 14.A - Prob. 28ECh. 14.A - Prob. 29ECh. 14.A - Prob. 30ECh. 14.A - Prob. 31ECh. 14.A - Prob. 32ECh. 14.A - Prob. 33ECh. 14.A - Prob. 34ECh. 14.A - Prob. 35ECh. 14.A - Prob. 36ECh. 14.A - Prob. 37ECh. 14.A - Prob. 38ECh. 14.A - Prob. 39ECh. 14.A - Prob. 40ECh. 14.A - Prob. 41ECh. 14.A - Prob. 42ECh. 14 - Prob. 113CECh. 14 - Prob. 114CECh. 14 - Prob. 115CECh. 14 - Prob. 116CECh. 14 - Prob. 117CECh. 14 - Prob. 118CECh. 14 - Prob. 119CECh. 14 - Prob. 120CECh. 14 - Prob. 121CECh. 14 - Prob. 122CECh. 14 - Prob. 123CECh. 14 - Prob. 124CECh. 14 - Prob. 125CECh. 14 - Prob. 126CECh. 14 - Prob. 127CECh. 14 - Prob. 128CECh. 14 - Prob. 129CECh. 14 - Prob. 130CECh. 14 - Prob. 131CECh. 14 - Prob. 132CECh. 14 - Prob. 133CECh. 14 - Prob. 134CECh. 14 - Prob. 135CECh. 14 - Prob. 136CECh. 14 - Prob. 137CECh. 14 - Prob. 138CECh. 14 - Prob. 139CECh. 14 - Prob. 140CECh. 14 - Prob. 141CECh. 14 - Prob. 142CECh. 14 - Prob. 143CECh. 14 - Prob. 144CECh. 14 - Prob. 145CECh. 14 - Prob. 146CE
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