Question

You wish to test the following claim (H) at a significance level of a = 0.001. H:41 = M2 H:M 7 H2 You obtain a sample of size m 101 with a mean of M = 79.4 and a standard deviation of SD = 15.3 from the first population. You obtain a sample of size ng = 36 with a mean of M2 = 80.8 and a standard deviation of SD = 14.4 from the second population. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value - 3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic - The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... Oreject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. The sample data support the claim that the first population mean is not equal to the second population mean.

Answer 1

PAGE NO.: DATE: - As such, the final that-namaan conclusion to @ There ir not sufficient evidence to wamant rejection of the claim that the first the first popun mego is not equal to the second popeyn mean CS Scanned with CamScanner

Given thati. Ho: e1=42 Hii elite2 and. ni= 101 M1 =79-7 Si = 15;3 12= 36 M2=80.8 S2 = 14.4 Here, Assum equal poppal" standard deviation. pooled standard deviation i s= Si*() + 5z #criz-1) (nitn2-2) (15:3)2 *100 +(14.4)2*35 01+36 -2 8 15-07 Now, as critical value in forza Za Here -0.001 0.0005 2 t35 3.294 oooos e 2 (0.0005) Now, critical value = 5 3-291 CS Scanned with CamScanner

PAGE NO.: DATE: b) Test Statistic: Z = Mo-M2 3,2 S22 + n2 Z 79.4 - 90.8 (15-372 101 36 + (14.4) 2 Z 0.4926 test statistics -O: 493 p-value = 0.622 The test statistic ig not in the critical region he deads to test Statistic decision tor fail to reject the nullo cs Scanned with CamScanner