Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers have maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 18 minutes. Suppose 100 returns from this year are selected and analyzed regarding the preparation time. What is the standard deviation of the sample mean?
Solution :
Given that ,
mean = = 90
standard deviation = = 18
n = 100
sampling distribution of standard deviation
= / n = 18/ 100=1.8
= 1.8
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