Question

In: Statistics and Probability

Show All detailed work 1.Two new work designs are under consideration for possible adoption in an...

Show All detailed work

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.

Solutions

Expert Solution

(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


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