Suppose We Wish to Test H₀: ?₁ - ?₂ $\bar { X }$

question 70

Multiple Choice

Suppose we wish to test H₀: ?₁ - ?₂ ? 0 versus H_A: ?₁ - ?₂ > 0.Independent random samples are taken from two normally distributed populations with unknown variances.The following sample statistics are given: $\bar { X }$
₁ = 15.4, $\bar { X }$
₂ = 14.5,s₁ = 2,s₂ = 2.28,n₁ = 35,n₂ = 18.Assuming that the population variances are not equal,what is the value of the appropriate test statistic?

• A)1.12
• B)1.73
• C)1.61
• D)2.01
• E)1.42

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