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Customers of a large grocery chain who are members of the chain's incentives program spend an average of $45 per visit to the grocery. In

Customers of a large grocery chain who are members of the chain's incentives program spend an average of $45 per visit to the grocery. In an attempt to try and increase the amount spent by these regular customers at their stores, the chain institutes a new feature of the incentives program where customers receive an extra 5% discount on groceries when they spend $50 or more. A sample of 64 customers in the program is randomly selected and it is discovered that the next time they go to the store they spend an average of $52. The population standard deviation is $24. Does this provide sufficient evidence that the true mean is now significantly more than $45? Conduct the appropriate hypothesis test. Be sure to specify your null and alternative hypothesis, test statistic, Pvalue, and conclusion.

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