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To solve this problem, first we have to determine the z statistic. The formula is
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,
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.
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,
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.