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Outside a home there is a 6-key keypad with letters A,

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Outside a home there is a 6-key keypad with letters A, B, C, D, E, and F that can be used to open the garage if

the correct six letter code is entered.  Each key may be used only once.  HOw many codes are possible?

 
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A company that makes cartons finds the probabiity

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A company that makes cartons finds the probabiity of producing a carton with a puncture is 0.05, the probability

that a carton has a smashed corner is 0.06, and the probability that a carton has a puncture and a smashed corner is 0.003.  

A.  are the events “selecting a carton with a puncture” and “selecting a carton with a smashed corner” mutually exclusive?  Explain

B. If a quality inspector randomly selects a carton, find the probability that the carton has a puncture of has a smashed corner

 
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How is the rejection region defined,

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How is the rejection region defined, and how is that related to the p value?  When do you reject or fail to

reject the null hypothesis?  Why do you think statisticians are asked to complete hypothesis testing?  Can you think of examples in courts, in medicine, or in your area (medicine)?

 
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How is p-value different between one-tailed and two-tailed tests?

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How is p-value different between one-tailed and two-tailed tests?  As a challenge question, why is the value from

Excel multiplied by two in a two-tailed test?

 
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