The time in hours that a technician requires to performpreventative maintenance on an air conditioning unit has a meantime of one (1) hour and a standard deviation also of one (1) hour.Your company has a contract to maintain 70 of these units in anapartment building. You must schedule technicians' time for a vistito this building.
Consider the 70 air conditioners as a simple random sample from allair conditioning units of this type.
a. What is the samplng distribution for the mean time spent workingon these air conditioning units. Remember a distribution describesthe shape center and spread. Explain fully.
b.What is the probability that the average maintenance timespent on these 70 units exceeds 1.1 hours?
Enter your final answer below, Round to 4 decimal places.
c. What is the probability that the average maintenance timespent on these 70 units exceeds 1.25 hours?
d. Is it safe to budget an average of 1.1 hours for each unit?Or should you budget an average of 1.25 hours for each unit?Why?