Question

Justify the selection of the specific data analysis method of inferential statistics for this data set....

Justify the selection of the specific data analysis method of inferential statistics for this data set.

Shift Stress
1 2
1 5
1 7
1 8
1 5
1 4
1 3
1 6
1 5
1 4
2 4
2 5
2 3
2 6
2 16
2 11
2 9
2 8
2 12
3 7
3 13
3 10
3 16
3 11
3 11
3 7
3 3
3 10
3 15
3 12
0 0
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Answer #1

One Way ANONVA

H0: There is no significance difference among the stress means of 3 shifts
H0: There is significance difference among the stress means of 3 shifts
Let the los be alpha = 5%

From the given data

S.No. Shift 1 Shift 2 Shift 3
1 2 4 7
2 5 5 13
3 7 3 10
4 8 6 16
5 5 16 11
6 4 11 11
7 3 9 7
8 6 8 3
9 5 12 10
10 4 15
Total
Total: Ti. 49 74 115 238
ni= 10 9 11 30
Ti.^2/ni 240.1 608.4444 1202.273 2050.817

1 Grand Total G 238 Ga 2382 N 30 2.c.f.--2 1888.133 . Total S.S- -2364-1888.133-475.8667 4.Treatment S.S.-ycf.-2050.817-1888.133-162.6838 5.. Error S.S. -Total S.S.-treatment S.S. 475.8667-162.6838 313.1828

Source df MS Between- treatments F 7.01262 162.6838 81.3419 Within- treatments 313.1828 27 11.5994 Total 475.8667 29 he fratio value is 7.01262. The p-value is.003526. The result is significant at p<.05

Thus we conclude that There is significance difference among the stress means of 3 shifts

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