# independent sample t test

Two new york designs are under consideration for possible adoption in an assembly plant. A time study is conducted with 10 workers using design 1, and 12 workers using design 2. The means and standard deviation of their assembly times in minutes are below.

Design 1 Design 2

Mean 78.3 minutes Mean 85.6 Minutes

Standard Deviation 4.8 Standard Deviation 6.5

Is the mean assembly time significantly higher for work design 2. Test at the 5% level of significance. Defend your position (this means write a brief explanation that the plant manager will understand)

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#### Solution Summary

The solution provides step by step method for the calculation of test statistic and p value . Formula for the calculation and Interpretations of the results are also included.

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