Question

[Should we build a wind farm?] Wind Power has been the most popular alternative energy choice in recent years. One of the key determinants for choosing a location for a wind farm is whether the site has enough wind. To produce enough energy using current technology, the site should have an annual average wind speed exceeding 9.25 miles per hour, according to the Wind Energy Association. One candidate site in southern California was monitored for a year, with wind speeds recorded every 6 hours. A total sample of 1074 reading of wind speed averaged 9.487 mph with a sample standard deviation of 5.762 mph. The histogram of these 1074 readings is shown below. You are asked to perform statistical analysis to help the developer decide whether to place a wind turbine at this site. Use this information to answer questions 10 to 13. 140 120 100 Aanba 80 60 40 20 0 Wind Speed Figure 1: Histogram of Wind Speed at a candidate location

Answer 1

Given na 1074, n = 9.487, s=5.762, No = 9,25 Đ', H 2 4, 25, We to test, Ho: M £ 9.25 che Here, = 50) 0,05. & Test statistica to = √n (ñ Mo) - 1.348 s p-value p(+1073 71.348) -0.089 x = 0.05, are fail to reject to P-value level significance a loy 20.10 new Since Hence, we Now, p-value < x = 0,10 reject to the >9.25, wind since M We recommend be farm should that built at this site,