Which of the following test is used for examining the significance of the difference between two means…
With known population variances, standardizing the difference between independent sample means by sqrt(σ₁²/n₁ + σ₂²/n₂) gives a Z statistic under normality or a large-sample…
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Which of the following test is used for examining the significance of the difference between two means of the population when variances are known and equal ?
Answer and explanation
Correct answer B
With known population variances, standardizing the difference between independent sample means by sqrt(σ₁²/n₁ + σ₂²/n₂) gives a Z statistic under normality or a large-sample approximation. The F test compares variances, χ² is used for other variance or categorical hypotheses, and the T test substitutes estimated variance when population variance is unknown. Equality of the known variances is not required for Z but is compatible with it.
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UGC NET Economics