Question

The time in hours that a technician requires to perform preventative maintenance on an air conditioning...

The time in hours that a technician requires to perform preventative maintenance on an air conditioning unit has a mean time 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 an apartment building. You must schedule technicians' time for a visti to this building.

Consider the 70 air conditioners as a simple random sample from all air conditioning units of this type.

a. What is the samplng distribution for the mean time spent working on these air conditioning units. Remember a distribution describes the shape center and spread. Explain fully.
Math   Statistics-And-Probability   
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Answer #1

Given

mean = = 1

standard deviation = = 1

sample size = n = 70

a)

mean of the sampling distribution of sample means is equal to population mean.

Hence shape center =

Spread is given by the standard deviation of the sampling distribution of sample means:

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