mear test the company s claim a competitor has selected 62 of these batteries at random The mean lifetime of the sample is 13 9 years Suppose the population standard deviation of these lifetimes is known to be 3 7 years Is there enough evidence to reject the claim that the mean lifetime of the newest model is 15 years Perform a hypothesis test using the 0 05 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 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 x O Step 4 Enter the p value Round to 3 decimal places 03 The p value is two times the area under the curve to the left the value of the test statistic 02 DE 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 15 years 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 15 years H 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 15 1 years 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 15 years 0 0 000 0 020 X X 79 c Based on your answer to part b choose what can be concluded at the 0 05 level of significance about the claim made by the company 0 0 0 0 X