According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.53 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers. Χ =.

The distribution of sample means is:

As the sample size is more than 30 so the sampling distribution of the sample means can be said to be approximately normal with the mean equal to 10.53 hours and standard deviation equals to 0.33 hours.

Explanation:

The mean,

μ=10.53

The population standard deviation,

σ= 2

The sample size, n=36

z score:

z= (xbar −μ)/σ

The standard error:

σxbar=σ/√n

=2/√36

=0.33

The standard error represents the distribution sample mean is 0.33.

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