Consider two independent populations with the following means and variances: µ1, H2; o7, ož. To estimate the difference 0 = µ1 – 42, we use Ô = X -Y, where X and Y are the sample means from the respective populations, based on samples of sizes nı, n2, respectively. Which of the following statements is true? A. E[ė) = 0 and Var[Ô] = o?/n1 +ož/n2 B. E(Ô) # 0 and Var[ė] = o{/n1 + o}/n2 C. E(Ô) = 0 and Var[Ô] = o?/n1 – o/n2 D. E(Ô) # 0 and Var[Ô] = o?/n1 – o3/n2 E. none of the preceding -

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Consider two independent populations with the following means and variances: µ1, µ2, σ2 1, σ2 2. To estimate the difference θ = µ1 −µ2, we use ˆΘ = X −Y, where X and Y are the sample means from the respective populations, based on samples of sizes n1, n2, respectively. Which of the following statements is true?
A. E[ˆΘ] = θ and Var[ˆΘ] = σ2 1/n1 + σ2 2/n2 B. E[ˆ Θ] 6= θ and Var[ˆΘ] = σ2 1/n1 + σ2 2/n2 C. E[ˆΘ] = θ and Var[ˆΘ] = σ2 1/n1 −σ2 2/n2 D. E[ˆ Θ] 6= θ and Var[ˆΘ] = σ2 1/n1 −σ2 2/n2 E. none of the preceding

Consider two independent populations with the following means and variances: µ1, H2;
o7, ož. To estimate the difference 0 = µ1 – 42, we use Ô = X -Y, where X and Y are
the sample means from the respective populations, based on samples of sizes nı, n2,
respectively. Which of the following statements is true?
A. E[ė) = 0 and Var[Ô] = o?/n1 +ož/n2
B. E(Ô) # 0 and Var[ė] = o{/n1 + o}/n2
C. E(Ô) = 0 and Var[Ô] = o?/n1 – o/n2
D. E(Ô) # 0 and Var[Ô] = o?/n1 – o3/n2
E. none of the preceding
-
Transcribed Image Text:Consider two independent populations with the following means and variances: µ1, H2; o7, ož. To estimate the difference 0 = µ1 – 42, we use Ô = X -Y, where X and Y are the sample means from the respective populations, based on samples of sizes nı, n2, respectively. Which of the following statements is true? A. E[ė) = 0 and Var[Ô] = o?/n1 +ož/n2 B. E(Ô) # 0 and Var[ė] = o{/n1 + o}/n2 C. E(Ô) = 0 and Var[Ô] = o?/n1 – o/n2 D. E(Ô) # 0 and Var[Ô] = o?/n1 – o3/n2 E. none of the preceding -
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