Since the amount of money that a bank can loan out is based on a percentage of the deposits that they have, it is real for a bank considering opening a pegleg in a new city to have some yell of the amount of money that will be deposited by customers into their bank. carbon National Bank is considering opening up a limb bank in one of four cities is the surrounding argona. In making the decision about where to open up their bank, they decide they was to sieve to determine if the mean account proportion in each city is the same or if the 4 cities argon potentially contrary from one a nonher. To that end, they hire a adviser to analyze the following sample of banking customers which they have obtained from the 4 incompatible cities: City 1City 2City 3City 4 748175618311622 150121257401169 1886199515542215 15931526137167 1474174622762557 191316162144634 121819581053789 1006167511202051 34318851838765 1494220417351645 580240913261266 1320 133817902138 17842076321487 104423751455 8901125 17081989 2156 Number of observations16171413 Median139719581504.
51487 Since the bankers are unsure what part of distribution the veritable balances of customers might follow, and since the sample sizes are not particularly large, a nonparametric test is most appropriate. The nonparametric election to analysis of variance is the Kruskall Wallis Test. First, however, we need to formulate the hypotheses. The delusive hypothesis is that the medians current balance for each city is the same. The alternative hypothesis is that at to the low est degree one of the cities has a different! median account balance than the other cities. stated symbolically, the hypotheses are: We choose . To judge the test statistic, we need to calculate the add up ranks of each city as they connect to the combined sample. Consider the following table with the ranks and average ranks: City...If you want to get a full essay, order it on our website:
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