Question

How heavy a load (pounds) is needed to pull apart pieces of Douglas fir $4$inches long and $1.5$inches square? A random sample of $20$similar pieces of Douglas fir from a large batch was selected for a science class. The Fathom boxplot below shows the class’s data. Explain why it would not be wise to use a one-sample t interval to estimate the population mean$\mu$.

Short answer

The Normal requirement to use the $t$-procedure is thus not required.

Step-by-step solution

Given Information

Explanation

In the box plot we note that there are $3$outliers and the distribution appears to be left-skewed (since the line in the box of the boxplot is more to the right of the box).

Since the distribution contains outliers and skewness, the distribution is NOT approximately a normal distribution.