Li-ion NIMH The following table shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NIMH) rechargeable batteries. Complete parts a through c. Sample mean 96.3 82.8 Sample standard deviation 6.5 11.8 Sample size 13 17 a. Perform a hypothesis test using o = 0.01 to determine if the average number of minutes per charge differs between these two battery types. Assume the population variances for the number of minutes per charge are not equal. Determine the null and alternative hypotheses for the test. HO: Hy - H2 VO H1 : H1 - H2 VO Calculate the appropriate test statistic and interpret the result. The test statistic is. (Round to two decimal places as needed.) The critical value(s) is(are) . (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic V the null hypothesis b. Identify the p-value from part a and interpret the result. The p-value is. (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. O A. Since the p-value is less than the significance level, reject the null hypothesis. O B. Since the p-value is less than the significance level, do not reject the null hypothesis. O C. Since the p-value is not less than the significance level, do not reject the null hypothesis. O D. Since the p-value is not less than the significance level, reject the null hypothesis. c. What assumptions need to be made in order to perform this procedure? O A. Since the sample sizes are large enough, no assumptions are needed. O B. Although the sample size in the first sample is large enough, it must be assumed that the distribution for the second population is normally distributed, and that the samples are independent. O C. It must be assumed that the distribution for both populations are normally distributed, and that the samples are independent. O D. Although the sample size in the second sample is large enough, it must be assumed that the distribution for the first sample is normally distributed, and that the samples are independent. Click to select your answer(s). MacBook Air