When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fα/2 and FL can be denoted F1-α/2 . Find the critical values FL and FR for a two-tailed hypothesis test based on the following values: n1 = 10, n2 = 16, α = 0.05
At
= 0.05, the critical values are
FL = F(0.975, 9, 15) = 0.2653
FR = F(0.025, 9, 15) = 3.1227
When performing a hypothesis test for the ratio of two population variances, the upper critical F...
6. What is the appropriate critical value for an upper-tailed test of the ratio of two variances, where n1=16 and n2=26 and alpha is .10?
Finding F critical for Variances Use the F-distribution to find the degrees of freedon for the numerator (d.f.N.), the degrees of freedom for the Denominator (d.f.D.) and the critical F-value Use the closest value when looking up the d.f.N. and d.f.D. in the tables. Test alpha α Sample 1 Sample 2 d.f.N. d.f.D. F critical Right 0.01 s12=37 n1=14 s22=89 n2=25 Two-tailed 0.10 s12=164 n1=21 s22=53 n2=17 Right 0.05 s12=92.8 n1=11 s22=43.6 n2=11
In a two-tailed F-test about equality of two population variances, given n1=21, S21 = 8.2, n2=26,S22= 4.0, and alpha = 0.05. The numerator and denominator degrees of freedom for the F distribution, respectively, are: The computed value of the test statistic, F, is: The critical value of F, from F chart or using MS Excel, is: The p-value, from F chart or using MS Excel, is: The conclusion is to reject H0. True or False?
A. Critical Values for Hypothesis Tests (o known) a) For an upper tailed hypothesis test when a = .0197, then 2 = b) For a two-tailed hypothesis test when a = 0.0104, then 2a/2= c) For a lower-tailed hypothesis test when a = 0.0132, then-Za = B. Critical Values for Hypothesis Tests (o unknown) a) For an upper tailed hypothesis test at 27 d.f. and a = .025, then ta = b) For a two-tailed hypothesis test at 58 d.f....
Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1x1 = 4.75, s1 = .20, n1 = 15, x⎯⎯2x2 = 5.18, s2 = .30, n2 = 15, α = .025, left-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1x1 = 4.75, s1 = .20, n1 = 15, x⎯⎯2x2 = 5.18, s2 = .30, n2 = 15, α = .025, left-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1x1 = 4.75, s1 = .20, n1 = 15, x⎯⎯2x2 = 5.18, s2 = .30, n2 = 15, α = .025, left-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1 = 4, s1 = .20, n1 = 15, x⎯⎯2 = 4.25, s2 = .30, n2 = 15, α = .025, left-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1 = 4, s1 = .20, n1 = 15, x⎯⎯2 = 4.25, s2 = .30, n2 = 15, α = .025, left-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick"...
You are performing a two-tailed test. If α = .004 , find the positive critical value, to three decimal places. zα/2 = You are performing a left-tailed z-test If α=.025, and your test statistic is z=−1.75, do you: Reject Null Hypothesis Fail to Reject Null Hypothesis