Answer:
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)= (6.73 - 2.324)/(1.577)](https://img.qammunity.org/2021/formulas/mathematics/college/adl4auabhcc7wo2hpb6k47t4ijhxoo1da4.png)
≅2.79
![Z_(June)= (3.93 - 0.857 )/(0.795)](https://img.qammunity.org/2021/formulas/mathematics/college/qyasgv5jjjlecx6j7daz60o7lh3oap7eb3.png)
![Z_(June)= 3.87](https://img.qammunity.org/2021/formulas/mathematics/college/wc030okz9no2ctp9pbnmj876omxnmb0h3l.png)
![Z_(August)= (2.53 - 0.63)/(0.597)](https://img.qammunity.org/2021/formulas/mathematics/college/kvuj54ty5y7cmw7xbf8pi2wvi5dyheyoiu.png)
≅ 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.