Final answer:
The manager is conducting a hypothesis test to assess if the average production, post-training, is greater than 450 handles per day. The null hypothesis (H0) suggests the average is 450, while the alternative hypothesis (H1) proposes it's higher. Statistical analysis on the sample of 50 trainees will determine if there's significant evidence for increased productivity.
Step-by-step explanation:
The manager aims to assess whether newly trained workers, after a week of training, can process more than 450 pieces per day.
With a sample of 50 trainees, the observed mean production is 460 handles per day, and the standard deviation is 38.
A hypothesis test is conducted to determine if there is significant evidence supporting the manager's conclusion.
The null hypothesis (H0) might be that the average production is 450 handles per day.
The alternative hypothesis (H1) would be that the average production is greater than 450 handles per day.
By conducting statistical analysis, the manager can decide whether the evidence from the sample supports the claim of improved productivity with trained workers.
Modern labor practices attempt to keep labor costs low by hiring workers to meet demand. Newly hired workers are not as productive as ones. Assume that assembly line workers with experience handle 500p A manager concludes that it is cost-effective to maintain the current pt hires, with a week of training, can process more than 450 pieces per dᵢ sample of N=50 trainees is observed. Let Yᵢ denote the number of handles on a randomly selected day. The sample mean is yˉ =460, and sample standard deviation is σ =38. (a) Carry out a test of whether or not there is evidence to support the corporation.