## In preparation for upcoming wage negotiations with the union, the managers for the Bevel Hardware Company want to establish the time require

Question

In preparation for upcoming wage negotiations with the union, the managers for the Bevel Hardware Company want to establish the time required to assemble a kitchen cabinet. A first line supervisor believes that the job should take 40 minutes on average to complete. A random sample of 120 cabinets has an average assembly time of 42 minutes with a standard deviation of 8 minutes. Is there overwhelming evidence to contradict the first line supervisors belief at a 0.05 significance level

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4 months 2021-10-08T13:30:31+00:00 1 Answer 0 views 0

The p value for this case would be given by:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

Step-by-step explanation:

Information provided

represent the sample mean for the assembly time

represent the sample deviation

sample size

represent the value to verify

represent the significance level

t would represent the statistic

represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to see if the true mean is equal to 40 minutes or not, the system of hypothesis would be:

Null hypothesis:

Alternative hypothesis:

The statistic for this case is given by:

(1)

Replacing the info given we got:

The p value for this case would be given by:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.