that their newest model of battery has a mean lifetime of 20 years To test the company s claim a competitor has selected 37 of these batteries at random The mean lifetime of the sample is 18 9 years Suppose the population standard deviation of these lifetimes is known to be s 1 years Is there enough evidence to reject the claim that the mean lifetime of the newest model is 20 years Perform a hypothesis test using the 0 10 level of significance a State the null hypothesis H and the alternative hypothesis H Ho H 0 b Perform a Z test and find the p value Here is some information to help you with your Z test The value of the test statistic is given by 0 Standard Normal Distribution Step 1 Select one tailed or two tailed O One tailed O Two tailed Step 2 Enter the test statistic Round to 3 decimal places Step 3 Shade the area represented by the p value Step 4 Enter the p value Round to 3 decimal places The p value is two times the area under the curve to the left of the value of the test statistic Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 20 years H x Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 20 years 0 0 Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 20 years 020 Since the p value is greater than the level of significance the null hypothesis is not rejected So there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is X 0 03 02 A 0 1 OSO c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the company O O O DO X 5 5 E