QUESTION 1. [10 marks] A Canadian manufacturing company operates two facilities that specialize in producing electronic equipment. The facility in Toronto has enhanced production capability while the facility in Ottawa does not have modern production equipment. The CEO of the manufacturing company is keen to learn the difference in mean time of production in these two facilities. He has taken a random sample of 15 parts from each facility and tracked the production time. The following sample data are recorded. Toronto Ottawa x = 56.7 hours X, - 70.4 hours S, - 7.1 hours $7 - 8.3 hours Assume that production times are normally distributed for both facilities. (a) Do you think the population variances can be assumed equal for this study? Why? (b) Use the critical value method with a = 0.05 to test whether there is significant difference between the average production time of electronic parts produced at Toronto and Ottawa. Include all the necessary steps of hypotheses. (c) What is the margin of error for constructing the 98% confidence interval between the average production time of electronics at Toronto and Ottawa