You own a bagel store and you are considering whether you should hire a cashier or continue with current practice of having all workers behind the counter collect payment. From the cash register record, you know what was purchased and the total amount that should be in the till at the end of each day. During one month you record the following deviations between the amount of cash collected and the amount that should have been collected (in dollars): 3, -6, -14, 11 ,-46, -21, 4, -34, -10, 1, -5, -3 Construct a statistical test to help you decide whether your work- ers are, on average, giving out the correct change. If necessary, use and specify any assumption for your test. Be sure to state the null hy- pothesis, the level of signicance (), the test statistic, and the critical value.