8. A bank realizes that having enough loan officers available is one of the ways of providing excellent service. The bank manager has collected data on the number of home-loan applicants who visit his branch per week. He believes that the distribution of the number of customer arrivals follows a Poisson distribution with an average of 3.5 applicants per week. Number of Customers Freg uency Poisson Probability 0 1 .030197 1 2 .105691 2 9 .184959 3 11 .215785 4 14 .188812 5 6 .132159 6+ 9 .142386 Is there sufficient evidence to refute the manager's belief at the or = .1 level of significance? What is the P-value of your test statistic