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In: Statistics and Probability

A local hospital claims that you will not wait longer than 45 minutes in the emergency...

A local hospital claims that you will not wait longer than 45 minutes in the emergency room. You go out to test this claim and find a sample of 81 patients chosen at random from their emergency room, you find a sample mean of 52 minutes with a sample standard deviation of 23 minutes. Can you publicly debunk their claim (call their claim fraudulent) at the 1% significance level? Use a test stat and then a p-value to determine if your conclusion is weak or strong.

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