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  1. mathematics
  2. statistics
  3. let x denote the life length in hours of a battery

Let X denote the life length in hours of a battery Suppose X is known...

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Let X denote the life length in hours of a battery Suppose X is known to be normally distributed with standard deviation o 2 25 hours A random sample of 12 batteries has an average life of x 51 3 hours We are interested in determining whether there is evidence to support the claim that mean battery life exceeds 50 hours Using a level of significance of 0 05 answer the following questions Part a 4 points State the null and alternative hypothesis for the appropriate hypothesis test Mo u S50hrs M 750 hrs z el Part b 5 points Identify the test statistic and p value teast statistic JJ If P 2 0 05 Pr value reject Part c 3 points State the conclusion of the test in the problem context is less equal M vahe we D is fo 2 score 51 3 50 2 25 112 Li reject greater we Ho than 2 0014 than If fail on 40 1

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