a. b. C. In a factory, the mean output per worker used to be 80 with...

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a. b. C. In a factory, the mean output per worker used to be 80 with a standard deviation of 20. The factory manager claims that with better supervision, the mean output will be more than 80. In order to verify his claim, a random sample of 100 workers were selected and the mean output was found to be 85. Assume that the population standard deviation remains the same. Can we accept the manager's claim at the 5% level of significance? Find the p-value of the test. Will your decision change at the 0.005 level of significance? 2. The mean weight of students in a college is 50 kg with a standard deviation of 10 kg. It is claimed that the mean weight of the students will be less after the examination. To test the claim a sample of 50 students selected at random after the exam showed a mean weight of 48kg. a. Can we accept the claim at the 5% level of significance? b. Find the p-value c. Based on the P-value calculated in part (ii), will your decision in part (1) changed at the 10% significance level? a. b. C. In a factory, the mean output per worker used to be 80 with a standard deviation of 20. The factory manager claims that with better supervision, the mean output will be more than 80. In order to verify his claim, a random sample of 100 workers were selected and the mean output was found to be 85. Assume that the population standard deviation remains the same. Can we accept the manager's claim at the 5% level of significance? Find the p-value of the test. Will your decision change at the 0.005 level of significance? 2. The mean weight of students in a college is 50 kg with a standard deviation of 10 kg. It is claimed that the mean weight of the students will be less after the examination. To test the claim a sample of 50 students selected at random after the exam showed a mean weight of 48kg. a. Can we accept the claim at the 5% level of significance? b. Find the p-value c. Based on the P-value calculated in part (ii), will your decision in part (1) changed at the 10% significance level?