Question

In the last chapter, we looked at three outliers arising from a plot of Average Wind Speed by Month in the Hopkins Forest. Each was associated with an unusually strong storm, but which was the most remarkable for its month? Here are the summary statistics for each of those three months:

Answer 1

Answer:

Step-by-step explanation:

Hello!

We have the information of the average wind speed for three months:

February:

Mean: 2.324

SD: 1.577

Otlier: 6.73 mph

June:

Mean: 0.857

SD: 0.795

Otlier: 3.93 mph

August

Mean: 0.63

SD: 0.597

Outlier: 2.53mph

a)

Z=  X - μ ~N(0;1)

δ

$Z_{February}= \frac{6.73 - 2.324}{1.577}$

$Z_{Februar}= 2.793$ ≅2.79

$Z_{June}= \frac{3.93 - 0.857 }{0.795}$

$Z_{June}= 3.87$

$Z_{August}= \frac{2.53 - 0.63}{0.597}$

$Z_{Augus}= 3.182$ ≅ 3.18

b)

Comparing the three Z-scores you can say that the strongest wind event was in June. The number obtained means that is the furthest one in relation to the mean.