Respuesta :
To solve this problem, first we have to determine the z statistic. The formula is
[tex]z= \frac{x-mean}{s \sqrt{n} } [/tex]
where x is the test point which is 8.019, the mean is 8 mph, s is the standard deviation which is 3.813 and n is the number of data which is 1114. Then,
[tex]z= \frac{8.019-8}{ \frac{3.813}{ \sqrt{1114}} }= 0.17[/tex]
Next, we find the p-value for the particular z. p-value is used in hypothetical test. Using a wind turbine would be the null hypothesis. From the standard normal table found in any statistics book, the p-value for z<0.17 is 0.5675. If the p-value is greater than 0.05, then you do not reject the null hypothesis.
Therefore, the landowner could use a small turbine at the site.
[tex]z= \frac{x-mean}{s \sqrt{n} } [/tex]
where x is the test point which is 8.019, the mean is 8 mph, s is the standard deviation which is 3.813 and n is the number of data which is 1114. Then,
[tex]z= \frac{8.019-8}{ \frac{3.813}{ \sqrt{1114}} }= 0.17[/tex]
Next, we find the p-value for the particular z. p-value is used in hypothetical test. Using a wind turbine would be the null hypothesis. From the standard normal table found in any statistics book, the p-value for z<0.17 is 0.5675. If the p-value is greater than 0.05, then you do not reject the null hypothesis.
Therefore, the landowner could use a small turbine at the site.
Answer:
Yes, you should buy the turbine, but just be aware that if you buy it, and there is no wind, your up a creek without a paddle. So in reality, it is your choice.
Explanation: