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A water company changed its billing method in a small town claiming that the change would...

A water company changed its billing method in a small town claiming that the change would decrease the mean water bill for customers. Under the old plan the mean monthly cost in the town was $225. To test the claim a sample of 47 water bills were checked and the mean bill was $211 with a standard deviation of $89. Show all the steps and work to test the company’s claim at the 5% significance level.

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