Please see an attachment for details A certain type of battery supercharger was found to take a mean of 12.1 minutes to charge a standard electric vehicle (EV) battery. A firmware update for this type of supercharger was recently released, but the update has received negative reviews from users. A researcher suspects the mean time the updated superchargers take to charge a standard EV battery is greater than 12.1 minutes. To test his claim, he chooses 29 of the updated superchargers at random and measures the time it takes each one to charge a standard EV battery. He finds that the superchargers take a sample mean of 12.4 minutes to charge a standard EV battery, with a sample standard deviation of 1.2 minutes. Assume that the population of amounts of time to charge a standard EV battery using the updated supercharger Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the claim that u, the mean time the updated superchargers take to charge a standard EVbattery, is more than 12.1 minutes (a) State the null hypothesis #, and the alternative hypothesis #, that you would use for the test. Ho H: D X ? (b) Perform a / test and find the p-value. Here is some information to help you with your : test. . The value of the test statistic is given by / – – H. The p-value is the area under the curve to the right of the value of the test statistic. Student’s t Distribution Step 1: Enter the number 0.4 of degrees of freedom. Step 2: Select one-tailed 0.3 or two-tailed. One-tailed O Two-tailed 02 Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p- value. x 5 ? (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 researcher. Since the P-vahere p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean time the updated x ? superchargers take to charge a standard EV battery is morethan 12.1 minutes. 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 support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 12.1 minutes. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence t evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 12.1 minutes. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 12.1 minutes…. Show more MathStatistics and Probability
