Final answer:
Determining whether the budgeted 1.1 hours per technician is adequate involves considering the average time of one hour and the standard deviation of one hour. The calculated average suggests that the time might not be sufficient, especially for units that may take longer than average to service.
Step-by-step explanation:
The question provided relates to evaluating if the company has budgeted enough time for technicians to service a sample of 70 air conditioners, given the average time spent on servicing a unit. To determine if the budgeted 1.1 hours per technician is sufficient, we should consider the average service time and its standard deviation. The central limit theorem enables us to infer that for a large sample, the sampling distribution of the sample mean will approximate a normal distribution.
Calculating Required Time for Technicians
With an average service time of one hour and a standard deviation of one hour, for a sample size of 70, the sample mean will also be one hour. However, given that there is variability around this average (the standard deviation), the budgeted time of 1.1 hours may not be adequate to cover the upper end of the time it could take to service some units.
We can use the Z-score to find out the probability of a technician taking up to 1.1 hours. Unfortunately, without knowing the exact requirements of TJC, it's impossible to calculate a precise answer to this question. However, thinking critically and using the information at hand, we can see that allocating only 10% more time than the average might not be enough, especially if the goal is to ensure that there's sufficient time for all units, including outliers.