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13. An company wants to reduce the wasted material . If the current process produces 134 kg/ day in average . The new process tests

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13. An company wants to reduce the wasted material . If the current process produces 134 kg/ day in average . The new process tests for 10 days . The sample mean in the test is 120. 7 kg. Assuming the amount of wasted material each day represents a random sample from a normal distribution , evaluate the evidence concerning whether the new process are effective at reducing waste ( on average ) . a ) . State the parameter of interest and well and alternative hypothesis for this experiment . b). Under the current process, the standard deviation of daily wasted material is 14.6 kg Assuming the standard deviation of daily waste material will not change under the new process, test whether the new process were effective at reducing waste at the 2 =0.05 significance level. Report a P-value and interpret the results .( ) . If the new process reduces the waste by 17 kal day on average, what is the power of the test you performed in b ) ! assumption d ) . Determine a 95 6 confidence interval for the mean daily waste at the company under the new process (assume the same standard deviation as in b ) ) . At the 2 20.05 significant level, is the assumption from c) of a reduction of 17 kal day on average reasonable

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