A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 25 years. To test the company's claim, a competitor has selected...

Question #3 please only answer (c)


Extracted text: A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 25 years. To test the company's claim, a competitor has selected 43 of these batteries at random. The mean lifetime of the sample is 24.2 years. Suppose the population standard deviation of these lifetimes is known to be 4.2 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 25 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 ロ<ロ oso="" h:="" 0="" o20="" ロ="ロ" ロロ="" (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="" ユーx="" •="" the="" p-value="" is="" two="" times="" the="" area="" under="" the="" curve="" to="" the="" left="" of="" the="" value="" of="" the="" test="" statistic.="" standard="" normal="" distribution="" step="" 1:="" select="" one-tailed="" or="" two-tailed.="" o="" one-tailed="" o="" two-tailed="" 0.3="" +="" step="" 2:="" enter="" the="" test="" statistic.="" (round="" to="" 3="" decimal="">


Extracted text: Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (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 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 vest model of battery is 25 years. O 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 25 years. O 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 25 years. O 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 25 years.