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The calibration of a scale is to be checked by weighing a 14 kg test...

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The calibration of a scale is to be checked by weighing a 14 kg test specimen 25 times Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with 0 200 kg Let denote the true average weight reading on the scale a What hypotheses should be tested Ho 14 H 14 Ho 14 H 14 Ho 14 H 14 Ho 14 Ha 14 Ho 14 Ha 14 b With the sample mean itself as the test statistic what is the P value when x 13 81 Round your answer to four decimal places What would you conclude at significance level 0 01 O Conclude that the true mean measured weight differs from 14 kg O Conclude that the true mean measured weight is the same as 14 kg c For a test with a 0 01 what is the probability that recalibration is judged unnecessary when in fact 14 2 Round your answer to four decimal places For a test with a 0 01 what is the probability that recalibration is judged unnecessary when in fact 13 9 Round your answer to four decimal places

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