At an art store, the mean sale amount is $1250 per customer. The owner thinks that the mean sales amount increases during promotion. A random sample of 45 paintings purchased during a promotion was selected, the sample mean sales amount is x¯=1315. Assume σ=$155. How can I implement the hypothesis test to check if the mean sales amount increases during promotion, and let α=0.01. I want to solve by both P-value method and reject region method.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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At an art store, the mean sale amount is $1250 per customer. The owner thinks that the mean sales amount increases during promotion. A random sample of 45 paintings purchased during a promotion was selected, the sample mean sales amount is x¯=1315. Assume σ=$155.

How can I implement the hypothesis test to check if the mean sales amount increases during promotion, and let α=0.01. I want to solve by both P-value method and reject region method.

 

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