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Integrated circuits are manufactured on silicon wafers through a process that involves a series of steps. An experiment was carried out the effect on the

Integrated circuits are manufactured on silicon wafers through a process that involves a series of steps. An experiment was carried out the effect on the yield of using three methods in the cleansing step. The results of the experiment can be found on the Yield-OneWay.xls Excel file. The reported values are an index of production (higher is better!).

  1. Set up the null and alternative hypotheses.
  2. Using the Excel file indicated above, is there evidence that the results of the cleaning methods are statistically different? In answering the question, interpret the p-value of this test.

Descriptives:

New method 1 New Method 2 Standard
Mean 31.83333333 Mean 31.66666667 Mean 30.5
Standard Error 2.971157649 Standard Error 2.577681991 Standard Error 1.979057
Median 34 Median 34.5 Median 30.5
Mode 38 Mode 35 Mode #N/A
Standard Deviation 7.277820186 Standard Deviation 6.314005596 Standard Deviation 4.84768
Sample Variance 52.96666667 Sample Variance 39.86666667 Sample Variance 23.5
Kurtosis 1.304369523 Kurtosis 2.409956264 Kurtosis 1.784156
Skewness -1.307886825 Skewness -1.630923303 Skewness -2.5E-17
Range 19 Range 17 Range 15
Minimum 19 Minimum 20 Minimum 23
Maximum 38 Maximum 37 Maximum 38
Sum 191 Sum 190 Sum 183
Count 6 Count 6 Count 6

Test:

SUMMARY
Groups Count Sum Average Variance
New method 1 6 191 31.83333 52.96667
New Method 2 6 190 31.66667 39.86667
Standard 6 183 30.5 23.5
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 6.333333 2 3.166667 0.081662 0.92199 3.68232
Within Groups 581.6667 15 38.77778
Total 588 17

DATA:

New method 1 New Method 2 Standard
38 29 31
34 35 23
38 34 38
34 20 29
19 35 32
28 37 30

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