The amount of time it takes a student to walk from her home to class has a skewed right distribution with mean of 14 minutes and a standard deviation of 1.1 minutes. If times were collected from 40 randomly selected walks, describe the sampling distribution of x̄, the sample mean time.
Given,
= 14 , = 1.1
Mean of sampling distribution of = = 14
Standard deviation of sampling distribution of = = / sqrt(n)
= 1.1 / sqrt(40)
= 0.1739
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