Question

The production manager of Northern Windows, Inc., has asked you to evaluate a proposed new procedure for producing its Regal line of double-hung windows. The present process has a mean production of 80 units per hour with a population standard deviation of s = 8. The manager does not want to change to a new procedure unless there is evidence that the mean production level is higher with the new process. A sample of 100 observations show the new production procedure has an average value of 85 units per hour. Assume α = 0.05. Is the mean production level statistically higher with the new process?

Answer 1

given data are:-

sample mean () = 85

population sd () = 8

sample size (n) = 100

level of significance () = 0.05

hypothesis:-

test statistic be:-

p value = 0.0000

[ using p value calculator, for z = 6.25 , one tailed test]

decision:-

p value = 0.0000 <0.05

so, we reject the null hypothesis.

conclusion:-

we conclude that,

there is enough evidence to say that the mean production level statistically higher with the new process at 0.05 level of significance.

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