(1 point) Test the claim that the two samples described below come from populations with the...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 18, X1 = 20, $i = 5. Sample 2: n2 = 30, L2 = 15, S2 = 5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.025 for an alternative hypothesis that the first population has a larger mean (one-sided test)....
(2 pts) Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α-0.01 Sample 1: ni - 17, x1- 21, s1 10 Sample 2: n2 -4, x2-29, s2 -5 (a) Degrees of freedom - (b) The test...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of 0.04. Sample 1: ni = 75, I1 = 12, si = 3. Sample 2: n2 = 78, 22 = 11, S2 = 1.5. The test statistic is The P-Value is The conclusion is A. There is not sufficient evidence to warrant rejection of the claim that the two...
come from populations (1 point) Test t mean. Assume that the samples are independent simple random samples. Use a significance level of a 0.01 Sample 1: n1 15, 1-28.4, 81-6.07 Sample 2: n2 10, 2 22, 82 8.92 (a) The degree of freedom is (b) The standardized test statistic is (c) The final conclusion is O A. We can reject the null hypothesis that (14-Ha) 0 and accept that (M1-μ2) 0 B. There is not sufficient evidence to reject the...
(1 point) In order to compare the means of two populations, independent random samples of 202 observations are selected from each population, with the following results: Sample 1 Sample 2 x1 = 4 x2 = 1 $1 = 105 s2 = 150 (a) Use a 90 % confidence interval to estimate the difference between the population means (41-42). < (41 - M2) (b) Test the null hypothesis: Ho : (41 - H2) = 0 versus the alternative hypothesis: H:(W1 -...
(1 point) Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n = 18, x1 = 24.7, sı = 7.07 Sample 2: n2 = 5, X2 = 27, S2 = 7.99 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
(2 points) In order to compare the means of two populations, independent random samples of 49 observations are selected from each population, with the following results: Sample 1 Sample 2 x = 1 *2 = 3 S = 195 140 s2 = (a) Use a 97 % confidence interval to estimate the difference between the population means (41 - H2). ( 4- 42) (b) Test the null hypothesis: H :(#1 - 12) = 0 versus the alternative hypothesis: H, :(...
23) Suppose you want to test the claim that u1 u2. Two samples are randomly selected from each population. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? (8.1) A) There is not sufficient evidence to support the claim u 2 B) There is sufficient evidence to support the claim u1 2 c) There is sufficient evidence to reject the claim 2 D) There is not sufficient evidence to reject...
(1 point) Independent random samples, each containing 800 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 581 and 221 successes, respectively. (a) Test Ho : (p1 – P2) = 0 against Ha : (Pi – P2) # 0. Use a = 0.01 test statistic = rejection region |z| > The final conclusion is # 0. A. We can reject the null hypothesis that (p1 – P2) = 0 and accept that (p1 –...
(1 point) Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations 1 and 2 produced 63 and 51 successes, respectively. Test Ho : (P-P2against Ha: (Pi -P2)>0. Use a0.01 (a) The test statistic is (b) The P-value is (c) The final conclusion is OA. There is not sufficient evidence to reject the null hypothesis that (pi - P2) - 0. B. We can reject the null hypothesis that (pi - P2) 0 and...