Question 3 (a) Suppose that for a period of 100 days, there were 93 major Denial of Service (DoS) attacks on a server (based on data from the Weblog). The actual distribution of Do5 attacks are as follows: No. of major DoS attacks No. of days 0 47 1 31 2 13 3 5 4 2 5 0 6 1 7 1 Determine whether the number of major DoS attacks follow a poisson distribution using a a y' test for a distribution fit, using a critical value of 14.067 for your test statistic. You may compare the expected frequency of DoS attacks with the observed frequency listed above and overlook four (4) DoS attacks or higher per day with appropriate justification. [10 marks] (b) Suppose you are interested in comparing the amount of time (in hours) spent on the internet by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours they had been surfing on the web during the previous week. The summary statistics are as follows: Women Men 12.5 hr 13.8 hr 3.9 hr 5.2 hr n 14 17 You are required to use a 0.05 significance level and a critical value of 1.701 to test the claim that the mean amount of time surfing the web by women is smaller than the mean amount of time spent by men. You are strongly advised to sketch you test distribution and values to arrive to the correct conclusion