Please answer the questions in a organized manner everything is included in these questions data and everything

d. Based on (a) and (b), which t test should be used to test whether there is a significant difference in the mean number of partners for region A accounting firms and region B accounting firms? O A. A separate-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are equal. O B. A pooled-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are equal. O C. A pooled-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are not equal. O D. A separate-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are not equal.\fA 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 the fashion. Similarly, in questions about a critical value, we shall consider the right (upper) tail. Bank A 3.47 3.16 4.39 6.06 0.43 5.12 6.54 6.09 3.86 4.12 3.06 5.13 4.76 2.25 Bank B 9.67 5.83 8.19 5.76 8.81 3.84 8.07 8.33 10.52 6.65 5.68 4.03 6.26 9.88 5.37 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. OA. Ho: 2 50? OB. Ho: 02 # 0? H 1 :07 > 0 7 H: 09 = 03 O C. Ho: 2 =07 OD. Ho: 07 202 H:097 07 H1:09 , . Use a= 0.10. Determine the test statistic. F = (Round to two decimal places as needed.) Find the p-value. p = (Round to three decimal places as needed.) Determine a conclusion. Choose the correct answer below. O A. Reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2. O B. Reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2. C. Do not reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2. O D. Do not reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2.A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. Samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines are provided. Complete (a) through (d) below. Click here to view the sample times. a. Assuming that the population variances from both offices are equal, is there evidence of a difference in the mean waiting times between the two offices? (Use a = 0.05.) Let py be the mean waiting time of the first office and 2 be the mean waiting time of the second office. Determine the hypotheses. Choose the correct answer below. O A. HO: H1 # H2 OB. HO: H1 2 H2 H1: 1 1 = H2 H1: My H2 Determine the test statistic The value of the test statistic is (Round to 4 decimal places as needed.) Determine the critical value(s). (Use a comma to separate answers as needed. Round to four decimal places as needed.)Choose the correct conclusion below. 0 A. Do not reject H0. There is insufcient evidence that the means differ. O B. Reject \"0- There is insufficient evidence that the means differ. O c. Do not reject H0. There is sufcient evidence that the means differ. O D. Reject Ho. There is sufcient evidence that the means differ. b. Find the p-value in (a) and interpret its meaning. p-value = (Round to four decimal places as needed.) Which of the following is the correct interpretation of the p~value? O A. The pvalue is the probability of getting a test statistic equal to or more extreme than the sample result if there is a O B. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result it there is difference in the mean problem clearing times of the two ofces. no difference in the mean problem clearing times of the two ofces. 0 C. The pvalue is the probability of getting a test statistic equal to or more extreme than the sample result if there is O D. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is a no difference in the sample mean problem clearing times of the two offices. difference in the sample mean problem clearing times of the two offices. Assume that you have a sample of n, = 5, with the sample mean X, = 41, and a sample standard deviation of S, = 7, and you have an independent sample of n2 = 8 from another population with a sample mean of X2 = 38 and the sample standard deviation S2 = 8. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that H1 > H2? Determine the hypotheses. Choose the correct answer below. O A. HO: MISH2 OB. HO: M1 # H2 H1: 1 1 > H2 H1: M1 = H2 O C. Ho: M1 > H2 OD. HO: H1 = H2 H1: My SH2 Hy: My # H2 Find the test statistic. The value of the test statistic = 123112312312312312 (Round to 4 decimal places as needed.) Find the p-value. p-value = 123123123123123 (Round to four decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho. There is insufficient evidence that 1 > H2. O B. Do not reject Ho. There is insufficient evidence that My > H2. O C. Reject Ho. There is sufficient evidence that My > H2. O D. Do not reject Ho. There is sufficient evidence that My > H2.A particular magazine identified the top accounting firms in 12 geographic regions across a certain country. Even though all 12 regions reported growth in the past year, region A and region B reported the highest combined growths, with 25% and 21%, respectively. A characteristic description of the accounting firms in these regions included the number of partners in the firm. The accompanying table contains data on the number of partners. Complete parts (a) through (d) below Click on the icon to view the data table. 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. a. At the 0.01 level of significance, is there evidence of a difference in the variability in numbers of partners for region A accounting firms and region B accounting firms? Determine the hypotheses, where of is the population variance of the numbers of partners for region A accounting firms and ? is the population variance of the numbers of partners for region B accounting firms. Choose the correct answer below. OA. Ho: 07 502 OB. Ho: 07 # 07 H 1 : 0 7 > 0 3 H1: 01 = OC. Ho: 07 = 02 OD. Ho: 07 202 H1:0970 7 H1 : 09 Compute the FSTAT test statistic. FSTAT = (Round to three decimal places as needed.) Determine the critical value. The critical value is. Round to three decimal places as needed.)h. Find the p-value. The p-value is . (Round to three decimal places as needed.) What does the p-value mean? Ho. There is V evidence to support the claim that the variability of the numbers of partners for the two regions' accounting rms are different. The probability of obtaining samples that give rise to a test statistic Vthe V , found previously, is equal to the p-value if the population variances of the number of partners for both regions are the same. c. What assumption has to be made about the two populations in order tojustify the use of the F b O A. The samples are taken from populations that have the same variance, 0 B. The samples are taken from populations that are independent and identically distributed O C. The populations do not contain any outliers. O D. Each of the two populations is normally distributed. 0 E. The samples are taken from populations that have the same mean. 0 F. There is enouoh information oiven that no assumptions need to be made, negative of the test statistic negative of the critical value critical value test statistic