Last part E is a yes no question little bit cut off

An examination in sociology has been taken by sociology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 29 examinations completed by sociology majors and an independent random sample of 24 examinations completed by students from other majors are selected. Among sampled students, the sociology majors scored a mean of 529.1 points with a variance of 9702.25, and the students from other majors scored a mean of 490.5 points with a variance of 23,104. Can we conclude, at the 0.01 significance level, that the population variance of scores of sociology majors, , is less than 62, the population variance of scores of other majors? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. O P Ho : I X S P H : I (b) Determine the type of test statistic to use. K (Choose one) 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) *0 00 (d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.) X ? (e) Can we conclude that the variance of all scores of sociology majors is less than the variance of all scores of other majors? Yes No