A random sample of 15 customers in two different banks were selected and their wait times (in minutes) are given below. Use this data to complete parts (a) through (d). IMPORTANT NOTE: In all of these questions, there are 2 possible ratios A/B and B/A! Our convention is to always assume that the larger variance is in the numerator (i.e., on top). The correct answer will always be found in this fashion. Similarly, in questions about a critical value, we shall consider the right (upper) tail. Bank A 3.62 3.15 4.44 6.09 0.32 5.12 6.46 6.15 3.85 4.14 5.58 3.09 5.06 4.72 2.31 Bank B 9.57 5.89 8.06 5.86 8.64 3.89 8.18 8.42 10.41 6.65 5.63 3.99 6.22 9.94 5.39 a. Is there evidence of a difference in the variability of the waiting time between the two banks? (Use a = 0.05.) Determine the hypotheses. Choose the correct answer below. O A. Ho: 07 =02 OB. Ho: 07 202 H1: 07 H1: 07 02 Compute the FSTAT test statistic. FSTAT = (Round to two decimal places as needed.) Determine the critical value. Round to two decimal places as needed.)Reach a decision. V H0. There is V evidence of a difference in the variability of the waiting time between the two banks. b. Determine the p-value in (a) and interpret its meaning. The p-value in part (a) is D. (Round to three decimal places as needed.) What does the p-value mean? 0 A. The p-value is the probability that the null hypothesis is true. 0 B. The pvalue is the probability of falsely rejecting the null hypothesis. 0 C. The pvalue is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. 0 D. The pvalue is the probability of rejecting the null hypothesis if the test were repeated for different samples. 6. What assumption about the population distribution of the two banks is necessary in (a)? Is the assumption valid for these dam? What assumption about the population distribution of the two banks is necessary in (a)? O A. The populations do not contain any extreme outliers. O B. The sample sizes taken from the population are independent and identically distributed. 0 C. There is enough information given that no assumptions need to be made. 0 D. Each of the two populations must be normally distributed. Is the assumption valid for these data? 0 A. The assumption is not valid because the sample sizes are not independent. O B. The assumption is valid because histograms of the data appear to be bell shaped, which is a good indication of possible normality. O C. The assumption is not valid because histograms of the data do not appear to be bell shaped, which is a good indication of possible non-normality. O D. The assumption is not valid because both populations contain outliers. d. Assume the results of part (a) are valid. Based on the results of (a), is it appropriate to use the pooled-variance t test to compare the means of the two banks? O A. No, because the samples are not randomly and independently selected from populations that are assumed to be normally distributed. 0 B. Yes, because the samples are randomly and independently selected from populations that are assumed to be normally distributed and the population variances can be assumed to be equal. O C. No, because the population variances cannot be assumed to be equal. The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). Population A: n = 21 S2 = 46.4 Population B: n = 13 SZ = 11.9 . . . a. At the 0.05 level of significance, is there evidence of a difference between of and o? ? Determine the hypotheses. Choose the correct answer below. OB. H: 07 707 OA. Ho: 02 207 H:09 =02 H1: 07 OC. H: 07 502 ON H1: 07 702 H1:09>02 Use technology to find the test statistic, FSTAT. FSTAT = (Round to two decimal places as needed.)