Final answer:
The maximum amount of time it should take to switch compressors is approximately 1.234 hours.
Step-by-step explanation:
The maximum amount of time it should take to switch compressors can be determined by analyzing the data provided. According to the service records, the average time a technician spends servicing a unit is one hour, with a standard deviation of one hour.
To calculate the maximum amount of time for switching compressors, we can use the concept of confidence intervals. With a simple random sample of 70 units, we can calculate the margin of error using the formula:
Z * (standard deviation / sqrt(sample size)) = margin of error
Assuming a 95% confidence level, the corresponding Z-value is 1.96. Substituting the values into the formula, we get:
1.96 * (1 / sqrt (70)) = 0.234
Therefore, the margin of error is approximately 0.234 hours. To find the maximum amount of time, we add the margin of error to the average servicing time:
1 + 0.234 = 1.234 hours
So, the maximum amount of time it should take to switch compressors is approximately 1.234 hours.