Question

In: Statistics and Probability

A company has just built a new factory to manufacture their widgets with a method they...

A company has just built a new factory to manufacture their widgets with a method they believe should be more efficient than their old method on a daily basis. To compare they recorded the number of widgets produced by the old factory for the last 9 days before it was shutdown and the first 8 days of the new factory's production. The company has reason to believe that daily production of widgets does not follow the normal distribution and have requested the use of the Wilcoxon rank sum test.

Old Factory: New Factory:
218 321
235 248
225 306
235 291
268 273
236 341
269 337
209 303
231

What would be the correct hypothesis test assuming that μ1 is the mean number produced by the old factory and μ2 is the mean number produced by the new factory?


H0: μ1 = μ2 vs. Ha: μ1 > μ2
H0: μ1 > μ2 vs. Ha: μ1 = μ2
H0: μ1 = μ2 vs. Ha: μ1 < μ2
H0: μ1 = μ2 vs. Ha: μ1 ≠ μ2

What rank should the value 236 from the old factory data have?

Calculate μW

Calculate the test statistic W

What is the approximate p value? (Hint: treat W as normally distributed)

Solutions

Expert Solution

orchestra answered 2 years ago
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