Question

Shour he Md ErAgscciation One candidate eite neocitecod for e uoer done cocorded every 6 hours. A total of 1114 recigs houd 8.019 moh with a standard dedation of 3 813 mob You bave been asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a and b below. a) Discuss the assumptions and conditions for using Student's tinference methods with these data. Here are some plots that may help you decide whether the methods can be used LClick the icon to view the histogram, scatter plot, and normal probability plot. Histogram, scatter plot, and normal probability plat Which of the assumptions and conditions for Student's t inference method are met? Select all that apply. A. The 10 % Condition is satisfied. B. The Nearly Normal Condition is satisfied. 150 C. The Randomization Assumption is satisfied. D. The Independence Assumption is satisfied E. None of the assumptions are met. 100 50 b) Find the 95 % confidence interval. 0 10 1A 20 5 Wind Speed (mph) O A. (Round to three decimal places needed.) O B. The confidence interval cannot be calculated because not all assumptions were fulfilled in part a 20 Is this site suitable for a small wind turbine? O A. No. The interval only contains values less than 8 mph. O B. No. While the required average wind speed of 8 mph is contained within the interval, there are also values below 8 mp O c. Yes. The required annual average wind speed of 8 mph is contained within the interval. O D. Because the confidence interval cannot be calculated, it is not possible to draw a conclusion. 250 o0 1000 Timo Histogram, scatter plot, and normal probability plot own Or average wind speed of with a standard deviation of 3.81 least help E 15 for scat 10 for S tisfie sati 1000 250 500 750 satis Time 20 15 plac cald 10 5 es l nd s win annd -2 2 nscores (ydw) peeds pu

Answer 1

Date : 4/6/2019

a) Assumptions and conditions: The number of readings and the corresponding mean SD are given n =1114 8.019 sd 3.813 The time plot shown in figure shows no pattern which means there is no association between the variables. Since it's a wind speed measurement measured periodically over a period of one year definitely the observations will be independent of each Hence the samples are independent Measurement were taken over a period of one year, the entire period is measured hence the samples are representative values With regard to the 10% condition, we have values or the wind measurements data less than 10% of all the observation. Since it can be monitored every hour or so, the measurements are definitely less than 10% of the observations. The histogram of the observation appears nearly normal

b) Now let us find the confidence interval at 95% for the mean wind speed Here we have the number of readings n1114 y8.019 sd 3.813 Using a software calculator or manually we can calculate the confidence interval manually as follows: 3.813 = 8.019±1.96*. V1114 1113 = 8.019 0.2239 |(7.79,8.2429) The 95% confidence interval for the true mean speed is (7.79,8.2429). Since many values are less the mean value of 8mphs, we cannot be sure about the true mean value is at least 8mphs.so it is not advisable to place a wind turbine in that site.