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 50 minutes on average to complete. A random sample of 130 cabinets has an average assembly time of 52 minutes with a standard deviation of 10 minutes. Is there overwhelming evidence to contradict the first line supervisor’s belief at a 0.05 significance level?

Step 1 of 3: Find the value of the test statistic. Round your answer to three decimal places, if necessary.

Step 2 of 3: Is there overwhelming evidence to contradict the first line supervisor’s belief at a 0.05 significance level? State your conclusion in the context of the original problem.

Step 3 of 3: Choose the best option below that describes the statistical and practical significance of this test.

Answer 1

The hypothesis being tested is:

H₀: µ = 50 minutes

H_a: µ ≠ 50 minutes

50.00	hypothesized value
52.00	mean 1
10.00	std. dev.
0.88	std. error
130	n
129	df
2.280	t
.0242	p-value (two-tailed)

Step 1 of 3: Find the value of the test statistic. Round your answer to three decimal places, if necessary.

2.280

Step 2 of 3: Is there overwhelming evidence to contradict the first line supervisor’s belief at a 0.05 significance level? State your conclusion in the context of the original problem.

Yes.

Since the p-value (0.0242) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we cannot conclude that the job should take 50 minutes on average to complete.

Step 3 of 3: Choose the best option below that describes the statistical and practical significance of this test.

No options provided.