Worldwide production of wind power by number of turbines, by country, was recorded as follows: (0) (ii) Server No. of problems United States China Spain Germany India Canada UK France Italy Calculate the mean and median of the wind turbine capacity of the 9 countries and suggest an appropriate measure of dispersion (or spread). [6 Marks] If United States capacity was omitted, indicate concisely which would be more affected, mean or median? (iii) Country [2 marks] [4 Marks] Q 2(b) In estimation of hypothesis testing indicate briefly when you would use the x and F distributions, respectively. 1 10 Total wind turbines 5,338 3,611 Q 2(c) [21 Marks] A software development company provides and maintains servers for several hundred customers. During a six-month period, the number of reported issues was recorded for a sample of 9 servers. The findings were as follows: 3 2 4 (with u=5.9 and a=4.2) (1) (ii) 2,233 1,872 1,524 1,042 797 676 671 4 6 5 2 6 0 7 8 9 13 9 3 Obtain the 95% confidence interval for the average number of server issues in the six-month period. [7 Marks] Suppose that mean and standard deviation remain the same, but that the sample size is 50 rather than 9. Obtain the corresponding 95% confidence interval in this case. [6 Marks] Suppose that mean and standard deviation remain the same, and that sample size remains 9, test the one-sided hypothesis that the average number of issues per server is 6 at the 5% level of significance. [8 Marks]