Question

question 7 of 8, step 1 of 3
17/24
correct
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 60 minutes on average to complete. a random sample of 22 cabinets has an average assembly time of 66 minutes with a population standard deviation of 12 minutes. is there overwhelming evidence to contradict the first - line supervisors belief at a 0.05 significance level? assume the population of assembly times is approximately normally distributed.
step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below.
$h_0:mu = 60$
$h_a:mu$______60
answer
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Explanation:

Step1: Determine hypothesis type

We want to check if there is evidence to contradict the supervisor's belief. Since the sample mean is 66 minutes (greater than the hypothesized 60 minutes), we are looking for a two - tailed test to see if the mean is different from 60.

Step2: State alternative hypothesis

The null hypothesis \(H_0:\mu = 60\). The alternative hypothesis \(H_a\) for a two - tailed test when we want to check if the mean is not equal to the hypothesized value is \(H_a:\mu
eq60\).

Answer:

\(
eq\)