In: Statistics and Probability
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1.Two new work 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 deviations of their assembly times in minutes are shown below.
Design 1 Design 2
Mean 78.3 minutes 85.6 minutes
Std Deviation 4.8 minutes 6.5 minutes
Is the mean assembly time significantly higher for work design 2? Test at the 5% level of significance.
(1) Null and Alternative Hypotheses
H0: The mean assembly time significantly not higher for work design 2
H1: The mean assembly time significantly higher for work design 2
i.e.
Thus we conclude that the mean assembly time significantly higher for work design 2