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An examination 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 are normally distributed. A random sample of 27 examinations completed by biology majors and an independent random sample of 16 examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of 536.5 points with a variance of 10,920.25 , and the students from other majors scored a mean of 493.3 points with a variance of 28,493.44 . Can we conclude, at the 0.01 significance level, that the population variance of scores of biology majors, of, is less than o, 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 Ħ, and the alternative hypothesis #,. Ho : 0 H1 : 0 |(b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) D=0 OsO ? (d) Find the critical value at the 0.01 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 No

An examination 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 are normally distributed. A random sample of 27 examinations completed by biology majors and an independent random sample of 16 examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of 536.5 points with a variance of 10,920.25 , and the students from other majors scored a mean of 493.3 points with a variance of 28,493.44 . Can we conclude, at the 0.01 significance level, that the population variance of scores of biology majors, of, is less than o, 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 Ħ, and the alternative hypothesis #,. Ho : 0 H1 : 0 |(b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) D=0 OsO ? (d) Find the critical value at the 0.01 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 No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An examination 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 are normally distributed. A random sample of 27 examinations completed by biology majors and an independent random sample of 16 examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of 536.5 points with a variance of 10,920.25 , and the students from other majors scored a mean of 493.3 points with a variance of 28,493.44 . Can we conclude, at the 0.01 significance level, that the population variance of scores of biology majors, of, is less than o5, 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,. Ho : 0 H1 : (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value at the 0.01 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 미 ? Ix
Transcribed Image Text:An examination 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 are normally distributed. A random sample of 27 examinations completed by biology majors and an independent random sample of 16 examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of 536.5 points with a variance of 10,920.25 , and the students from other majors scored a mean of 493.3 points with a variance of 28,493.44 . Can we conclude, at the 0.01 significance level, that the population variance of scores of biology majors, of, is less than o5, 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,. Ho : 0 H1 : (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value at the 0.01 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 미 ? Ix
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