A company assembles remote controls for television sets. The company’s design engineers have…

A company assembles remote controls for television sets. The
company’s design engineers have developed a revised design that they think will
make it faster to assemble the controls. To test whether the new design leads
to faster assembly, 14 assembly workers were randomly selected and each worker
was asked to assemble a control using the current design and then asked to
assemble a control using the revised design. The times in seconds to assemble
the controls are shown in the file Remote Control. The company’s engineers are
unable to assume that the assembly times are normally distributed, but they
would like to test whether assembly times are lower using the revised design.

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 a. What statistical test do you recommend the company use?
Why?

 b. State the null and alternative hypotheses of interest to
the company.

 c. At the 0.025 level of significance, is there any
evidence to support the engineers’ belief that the revised design reduces
assembly time?

d. How might the results of the statistical test be used by
the company’s management?

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