Bones Brothers Associates prepare individual tax returns Ov

Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes and the standard deviation of this distribution is 14 minutes. Suppose 100 returns from this year are selected and analyzed regarding the preparation time. What assumption do you need to make about the shape of the population distribution of all possible tax preparation times to make inferences about the mean time to complete a tax form?

*The population distribution is skewed to the left.

*The population distribution is normal.

*The shape of the population distribution does not matter.

*The population distribution is skewed to the right.

Solution

*The shape of the population distribution does not matter.

as far as it has finite mean and variance. The reason is that sample size of 100 is large, and CLT will guarantee that sample means follow approximate normal distribution irrespective of population distribution