A Serious Interest Penalty
In this case, a bank, The Western National Bank, is trying to offer free checking benefits to those customers with a minimum balance great enough to do so. The bank¡¦s problem is finding the amount the minimum balance should be, as well as meeting certain criteria given in their advertisement. Some details of the criteria are that they would like to be able to claim that the mean account balance exceeds the minimum balance required to qualify for free checking. They also desire that less than half of all accounts have a balance that exceeds the minimum balance required to qualify for free checking. A financial product manager at the bank has made a suggestion of $1,500.00 for the minimum balance. The bank wants to know if $1,500.00 is used as the minimum balance, then would they meet the criteria stated in the advertisement. In analyzing the given data, it was noted that this problem could be approached by using hypothesis testing. In viewing this case, it was determined that the case was asking two questions which had to be answered by using both proportional hypothesis testing and mean hypothesis testing. By using hypothesis testing, many assumptions had to be made. First of all, both hypo . . .
In the proportion hypothesis, z had to be used, but it really is only supposed to be used in a large sample. The null hypothesis of this test was Ĉ> 0. One major factor was that the sample size was only 26. It does not satisfy all the criteria stated in the advertisement. After more clearly representing the data on the graph, it was analyzed to determine if the calculated values fell within the given intervals. I first began with the mean hypothesis. Next, I drew a graph, which was lower-tailed, as shown in appendix a-2. The number was found by using the area from the curve, mean to z critical, which was 0.
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