An exal d on in biology has been taken by biology majors and also by some students from other majors. It is widely believed that the scores for both groups Espan are normally distributed. A random sample of 29 examinations completed by biology majors and an independent random sample of 24 examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of 520.5 points with a variance of 10,040.04, and the students from other majors scored a mean of 497.6 points with a variance of 17,795.56. Can we conclude, at the 0.05 significance level, that the population variance of scores of biology majors, Of, 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 Ho and the alternative hypothesis H. H P Ho : X S P (b) Determine the type of test statistic to use. (Choose one) 0=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) D+ 030 0>0 X (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the variance of all scores of biology majors is less than the variance of all scores of other majors? Yes ONo