(12 points) An internet service provider conducted a survey of 10 male and found that the mean screen time was 35 mins per day with a standard deviation of 10 mins per day. At the same time a survey of 12 females, found that the mean screen time was also 35 mins but the standard deviation was 12 mins per day. The internet service provider wanted to test whether there is a difference in the variance in the screen time for male and female. a. What is the null and alternative hypothesis? b. Calculate the test statistic. 0. At the 0.10 signicance level, can we conclude that there is a difference in the variance in the screen time for male and female? Explain your conclusion with the help of a diagram. (24 marks) New Territories East compose of 4 different districts (Shatin, Taipo, North and Sai Kung) We wanted to determine whether there is a difference in the mean number of trafc accidents among the 4 districts. We collected the number of trafc accidents reported in each district, from a random sample of 6 days from last month. a Compute the sum of squares due to treatments (SSTR). b. Compute the mean square due to treatments (MSTR). 0. Compute the sum of squares due to error (SSE). d. Compute the mean square due to error (MSE). e. Develop the null and alternative hypothesis. f. At a: = 0.05, test whether there are any signicant differences in the mean number of trafc accidents among the four districts