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(f) What is the P-value if the hypotheses are Ho : µi- µ2 = 2 versus H1 : Hi – µ2 # 2?

(f) What is the P-value if the hypotheses are Ho : µi- µ2 = 2 versus H1 : Hi – µ2 # 2?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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only part f please

Two-Sample T-Test and Cl: Y1, Y2 Two-sample T for Y 1 vs Y2 Mean 50.19 Std. Dev. 1.71 2.48 SE Mean 0.38 0.55 N Y1 20 Y2 20 52.52 Difference = mu (X1) – mu (X2) Estimate for difference: - 2.33341 95% CI for difference: (- 3.69547, -0.97135) T-Test of difference = 0 (vs not = ) : T-Value=-3.47 P-Value = 0.001 DF = 38 Both use Pooled Std. Dev. = 2.1277 (a) Can the null hypothesis be rejected at the 0.05 level? Why? (b) Is this a one-sided or a two-sided test? (c) If the hypotheses had been Ho : µ1 – H2 = you reject the null hypothesis at the 0.05 level? (d) If the hypotheses had been Ho : µ1 – u2 = 2 versus Hị : µ1 – µ2 < 2 would you reject the null hypothesis at the 0.05 level? Can you answer this question without doing any additional calculations? Why? (e) Use the output and thet table to find a 95 percent upper confidence bound on the difference in means. (f) What is the P-value if the hypotheses are Ho : µ1- µ2 = 2 versus Hi : 2 versus H1 : µ1 – µ2 # 2 would H1 - H2 # 2?
Transcribed Image Text:Two-Sample T-Test and Cl: Y1, Y2 Two-sample T for Y 1 vs Y2 Mean 50.19 Std. Dev. 1.71 2.48 SE Mean 0.38 0.55 N Y1 20 Y2 20 52.52 Difference = mu (X1) – mu (X2) Estimate for difference: - 2.33341 95% CI for difference: (- 3.69547, -0.97135) T-Test of difference = 0 (vs not = ) : T-Value=-3.47 P-Value = 0.001 DF = 38 Both use Pooled Std. Dev. = 2.1277 (a) Can the null hypothesis be rejected at the 0.05 level? Why? (b) Is this a one-sided or a two-sided test? (c) If the hypotheses had been Ho : µ1 – H2 = you reject the null hypothesis at the 0.05 level? (d) If the hypotheses had been Ho : µ1 – u2 = 2 versus Hị : µ1 – µ2 < 2 would you reject the null hypothesis at the 0.05 level? Can you answer this question without doing any additional calculations? Why? (e) Use the output and thet table to find a 95 percent upper confidence bound on the difference in means. (f) What is the P-value if the hypotheses are Ho : µ1- µ2 = 2 versus Hi : 2 versus H1 : µ1 – µ2 # 2 would H1 - H2 # 2?
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