Which of the following conditions are necessary to construct a confidence interval for the difference in population means? (Select all that apply.) OTwo independent random samples from their respective populations. Large enough sample sizes to assume the approximate normality of the sampling distributions of X₁ and x₂ or verification that the populations are normal. The parameter of interest is the difference in means for both populations. Both sample sizes must be greater than or equal to 30. The means come from normally distributed populations. Population standard deviations for both samples are known.

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Which of the following conditions are necessary to construct a confidence interval for the difference in population means? (Select all that apply.)
OTwo independent random samples from their respective populations.
O Large enough sample sizes to assume the approximate normality of the sampling distributions of x₁ and X₂ or verification that the populations are normal.
O The parameter of interest is the difference in means for both populations.
Both sample sizes must be greater than or equal to 30.
The means come from normally distributed populations.
Population standard deviations for both samples are known.
Transcribed Image Text:Which of the following conditions are necessary to construct a confidence interval for the difference in population means? (Select all that apply.) OTwo independent random samples from their respective populations. O Large enough sample sizes to assume the approximate normality of the sampling distributions of x₁ and X₂ or verification that the populations are normal. O The parameter of interest is the difference in means for both populations. Both sample sizes must be greater than or equal to 30. The means come from normally distributed populations. Population standard deviations for both samples are known.
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