statistical methods

X A study compared the number of calls to 911 emergency centers in the cities of Gatineau and Saint- Jerome. From the random samples of calls made to the services of the two cities, we calculated the mean and standard deviation of the numbers of calls and obtained the following results: Descriptive statistics of observed data Street Number of call (n) Average Standard deviation Gatineau 120 2.6 1.56 Saint - Jerome 100 3.5 2.64 Assuming the numbers of calls normally distributed with equal variances, 1. Is there a significant difference between the average number of calls to emergency centers in the two cities? Use a significance level of 5%. To answer this question, you must a) Formulate your test hypotheses HO and H1 b) Calculate your test statistic c) Perform the test d) Specify your decision rule and conclude - 1.1. Give a confidence interval for the average number of calls to each center at the 95% confidence level and then interpret it