Final answer:
Determining if 1.1 hours per technician will be enough to service air conditioners requires statistical analysis due to the average service time and standard deviation provided. Simple calculations suggest that budgeting so closely to the average might be risky, as the spread of service times is large. Further analysis like a confidence interval calculation is advisable to ensure sufficient budgeting for time.
Step-by-step explanation:
To calculate whether an average of 1.1 hours per technician will be enough to service air conditioners, we would use the information provided about the average service time and the standard deviation. However, in order to determine if 1.1 hours per technician is sufficient, we would need to apply statistical methods such as hypothesis testing or confidence intervals. This usually involves assuming a normal distribution and using the standard deviation to calculate probabilities.
In the case of the standard deviation being equal to the mean, the distribution is likely to be very spread out, meaning there's a significant chance that some air conditioners may take more than 1.1 hours to service. Considering this, budgeting only 1.1 hours per technician when the standard deviation is equal to 1 hour (the same as the mean) might be risky, as approximately 16% of values lie more than one standard deviation above the mean in a normal distribution.
To make a more informed decision, it would be advisable to perform further analysis, such as calculating a confidence interval to estimate the number of technicians needed based on the average time of service and its standard deviation.