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%...


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

Extracted 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="" #="">

Jun 10, 2022
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