Please note that this question consists of six parts. Show a…
Please note that this question consists of six parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question. The battery lifetime of particular type of calculator is supposed to last for 25,000 calculations on average. A researcher suspects that these batteries are not as good as advertised. For a random sample of 16 batteries for such calculator type, the sample mean was found to be 24,680 calculations and standard deviation 482 calculations. Set up the appropriate null and alternative hypotheses for testing the question posed by the researcher. Are the conditions needed to carry out the test in part 1 satisfied? In addition to answering yes or no, clearly state the conditions and explain how you check. Find the test statistic for the test in part 1. Show your calculations. Find the rejection region for the test in part 1 using 5% significance level. Clearly state the rejection region (it is not sufficient to provide just the critical value). Write the final conclusion in the context of the problem. Based on the decision you made in part 5, which error: type I or type II is possible? Explain.