6. [-/1 Points] DETAILS ASWSBE14 11.E.011.ALT. 0/2 Submissions Used MY NOTES ASK YOUR TEACHER DATAfile: EconGMAT You may need to use the appropriate technology to answer this question. In 2016, the Graduate Management Admission Council reported that the variance in GMAT scores was 14,660. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view, The file EconGMAT contains GMAT scores for 51 randomly selected undergraduate students majoring in economics. (a) Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations, (Round your answers to two decimal places.) (b) Develop hypotheses to test whether the sample data indicate that the variance in GMAT scores for undergraduate students majoring in economics differs from the general population of GMAT takers. He: of s 14,660 H.: a > 14,660 Ho: 2 = 14,560 H.: 62 + 14,560 OHof o' 2 14,660 H.1 42 14,660 H.: 's 14,660 (c) Use a = 0.05 to conduct the hypothesis test formulated in part (b). Find the value of the test statistic, (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? ()Reject H-. We cannot conclude the variance in GMAT scores differs from the general population of GMAT takers. O Do not reject Ho. We can conclude the variance in GMAT scores differs from the general population of GMAT takers. Do not reject Ho. We cannot conclude the variance in GMAT scores differs from the general population of GMAT takers. O Reject My. We can conclude the variance in GMAT scores differs from the general population of GMAT takers. Need Help