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Q1: (5 points) Observation from two random and independent samples, drawn from population 1 and 2, are given below Sample 1 33 61 20 19 40 Sample 2 26 36 65 25 35 Preliminary calculations show that: $\bar{x}_1 = 34.6$, $s_1 = 17.2$, $\bar{x}_2 = 37.4$, $s_2 = 16.2$. 1. Assume that the two populations are normal with equal variances. Use the pooled t-test for testing $H_0: \mu_1 = \mu_2$ vs. $H_1: \mu_1 \neq \mu_2$, where $\mu_1$ is the mean of population 1 and $\mu_2$ is the mean of population 2. Use $\alpha = 0.1$. (2 points) 2. Use the Wilcoxon rank sum test to determine whether or the two populations are the same or not. Use $\alpha = 0.1$. (3 points)

          Q1: (5 points) Observation from two random and independent samples, drawn from population 1 and 2, are given below
Sample 1 33 61 20 19 40
Sample 2 26 36 65 25 35
Preliminary calculations show that: $\bar{x}_1 = 34.6$, $s_1 = 17.2$, $\bar{x}_2 = 37.4$, $s_2 = 16.2$.
1. Assume that the two populations are normal with equal variances. Use the pooled t-test for testing $H_0: \mu_1 = \mu_2$ vs. $H_1: \mu_1 \neq \mu_2$, where $\mu_1$ is the mean of population 1 and $\mu_2$ is the mean of population 2. Use $\alpha = 0.1$.
(2 points)
2. Use the Wilcoxon rank sum test to determine whether or the two populations are the same or not. Use $\alpha = 0.1$.
(3 points)

Q1: (5 points) Observation from two random and independent samples, drawn from population 1 and 2, are given below
Sample 1 33 61 20 19 40
Sample 2 26 36 65 25 35
Preliminary calculations show that: x̅1 = 34.6, s1 = 17.2, x̅2 = 37.4, s2 = 16.2.
1. Assume that the two populations are normal with equal variances. Use the pooled t-test for testing H0: μ1 = μ2 vs. H1: μ1 ≠μ2, where μ1 is the mean of population 1 and μ2 is the mean of population 2. Use α = 0.1.
(2 points)
2. Use the Wilcoxon rank sum test to determine whether or the two populations are the same or not. Use α = 0.1.
(3 points)

Added by Amanda H.

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