A group of business executives is interested in comparing the job satisfaction among lawyers, physical therapists, cabinetmakers, and system analysts. They chose random samples of 10 workers from each of the 4 professions (so 40 individuals in total) and asked them to rate their job satisfaction on a scale from 0-100.Grouping Information Using the Tukey Method and 95% Confidence Factor N Mean Grouping Cabinetmaker 10 69.10 A Physical Therapist 10 63.80 A Systems Analyst 10 61.20 A Lawyer 10 50.00 Means that do not share a letter are significantly diferent. Tukey Simultaneous Tests for Differences of Means Difference SE of Adjusted Difference of Levels of Means Difference 95% CI T-Value P-Value Physical The - Lawyer 13.80 5.14 (-0.05, 27.65) 2.68 0.051 Cabinetmaker - Lawyer 19.10 5.14 (5.25,32.95) 3.72 0.004 Systems Anal - Lawyer 11.20 5.14 (-2.65, 25.05) 2.18 0.149 Cabinetmaker - Physical The 5.30 5.14 (-8.55, 19.15) 1.03 0.733 Systems Anal - Physical The -2.60 5.14 (-16.45, 11.25] 0.51 0.957 Systems Anal - Cabinetmaker -7.90 5.14 (-21.75,5.95) -1.54 0.427 Individual confidence level = 98.93%% Tukey Simultaneous 95% Cls Difference of Means for Lawyer, Physical The, .. Physical The - Lawyer Cabinetmaker - Lawyer Systems Anal - Lawyer Cabinetmaker - Physical The Systems Anal - Physical The Systems Anal - Cabinetmaker -20 -10 10 20 30 40Is there evidence of a difference in the average job satisfaction for the different professions. Answer this question by indicating which of the following conclusions is the most appropriate. given that the assumptions were checked and are all metr and test statistic is F = 4.91, with a pvalue of 9.006. O a. Since the assumptions are met. we can conclude that there is a difference in the meanjob satisfaction rating for the population of all people in these four professions. O b. Since the assumptions are met. we have strong evidence [p = {LUBE} that there is a difference in the meanjoh satisfaction rating for the population of all people in these four professions. O c. Since the assumptions are met. we cannot conclude that there is a difference in the meanjob satisfaction rating for the population of all people in these four professions. D d. Since the assumptions are met. we have strong evidence that there is not a difference in the meanjob satisfaction rating for the population of all people in these four professions. Now, we want to look a little closer at where there might be a difference. How manyr pairwise comparisons do we need to consider? Interpret the second Tukey confidence interval on the output in the context of the problem. This is the interval comparing Cabinetmakers to Lawyers (calculated as Cabinet Makers - Lawyers). 1 A v B I PABased on the Tukey confidence intervals, which Professions differ in Job Satisfaction Rating? Physical Therapist and Lawyer Cabinet Maker and Lawyer yes + System Analyst and Lawyer no Cabinet Maker and Physical Therapist $ System Analyst and Physical Therapist $ System Analyst and Cabinet Maker Please answer all parts of the