Question

Wind turbines are used to produce energy. To produce enough energy, the site should have an annual average wind speed greater than 8 kilometres per hour. One candidate site was monitored for a year, with wind speeds recorded every six hours. A total of 1114 readings of wind speed averaged 8.019 kilometres per hour with a standard deviation of 3.813 kilometres per hour. Landowner wants to decide whether to place a wind turbine at this site. Do a complete hypothesis test with appropriate assumptions. Here is the plot that may help you decide whether the methods can be used. Take a = 0.1

Answer 1

Given n =1114

sample mean = 8.019 km/hr

sd = 3.813 km/hr

State the Null Hypothesis. H0: μ = 8 and

alternate hypothesis would be H1: μ > 8

Test Statistic

critical value of z at 0.1% level og significance = 1.28

   Z (0.1663) < critical value of Z (1.28)

DO NOT REJECT H0

So Landowner not decide to place a wind turbine at this site.