The Smallville Police has released that they issue an average of forty speeding tickets per day. An angry resident claims that they issue more than that, so he took a sample of the number of speeding tickets issued per day over the course of 90 days, and he found the mean of his sample to be 41.2 tickets. If the population standard deviation is 3.72, determine if there is enough evidence to support the resident's claim. Use a = 0. 10. Please show all work in performing your hypothesis test below. Be sure to include null and alternative hypotheses, critical value, test value and your conclusion.

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