plore tivity 1 1. The X Last Company has developed a new battery. The engineering department of the company claims that each battery lasts for 200 minutes. In order to test this claim, the company selects a random of 100 new batteries so that this sample has a mean of 190 minutes with a standard deviation of 30 minutes. Test the engineering department claim that the new batteries run with an average of 200 minutes. Use a 0.01 level of significance. Solution: a. State the Null and Alternative Hypotheses HO : HI : b. What is the level of significance? a = c. Identify the rejection regions. za = 2 d. Calculate the test statistics. Z = e. What will be the decision rule? f. Draw the conclusion