(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 researcher.- 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 support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 15.4 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 15.4 minutes.- Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 15.4 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 15.4 minutes. **Text Transcription:**A certain type of battery supercharger was found to take a mean of 15.4 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 15.4 minutes. To test his claim, he chooses 15 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 16.1 minutes to charge a standard EV battery, with a sample standard deviation of 1.8 minutes. Assume that the population of amounts of time to charge a standard EV battery using the updated superchargers is approximately normally distributed.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ, the mean time the updated superchargers take to charge a standard EV battery, is more than 15.4 minutes.(a) State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) that you would use for the test.**Diagram Explanation:**The diagram contains symbols used to formally state hypotheses:- \(H_0\): □- \(H_1\): □The symbols available to fill in the hypothesis statements are displayed in a box below:- \(μ\), \(\bar{x}\)- Single square: ☐- Double-ended arrow pointing left: ⬅️- Blank box: □- Double-ended arrow pointing right: ➡️- Used throughout: ⬜- Back button: ↩️- Reset button: ⭯- Help button: ❓

The random variable time follows normal distribution. The sample size is 15. The sample mean is 16.1. The sample standard deviation is 1.8. We have to test whether the mean time the updated supercharges take to charge a standard EV battery is more than 15.4 minutes or not. This is one-sample t-test with right-tailed.The null and alternative hypotheses areThe value of the test statistic is t = 1.51. Df = n-1 = 15-1 = 14 EXCEL command is “= TDIST (x, deg_freedom, tails)” For p-value, enter in EXCEL as, “= TDIST (1.51, 14, 1)” P-value = 0.0771. Since p-value (=0.0771) > α(=0.05), then fail to reject the null hypothesis.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 supercharges take to charge a standard EV battery is more than 15.4 minutes.