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4. The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of d
Posted: Mon May 09, 2022 12:47 pm
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4. The calibration of a scale is to be checked by weighing a 10-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 true standard deviation o = 0.2 kg. Let u denote the true average weight reading on the scale. M a. (5 points) What hypotheses should be tested to check the accuracy of the calibration of this scale? What are the type I and type II errors in this question? b. (5 points) What is the p-value when sample mean i = 9.85? What would you conclude at significance level 0.01?