Which of the following statements are true? There may be more than one correct statement; check all that are true. a) The pooled-variance t works much better than Welch when the population variances are very different. O b) We use the pooled-variance t when constructing confidence intervals, but Welch for hypothesis testing. c) Both the pooled-variancet and Welch t assume the population variances are known.

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Which of the following statements are true? There may be more than one correct
statement; check all that are true.
a) The pooled-variance t works much better than Welch when the population
variances are very different.
O b) We use the pooled-variance t when constructing confidence intervals, but
Welch for hypothesis testing.
c) Both the pooled-variancet and Welch t assume the population variances are
known.
d) If we are in a two-sample inference situation where the population variances
are very different and the sample sizes are very different, it is better to use
Welch than the pooled-variance t.
Transcribed Image Text:Which of the following statements are true? There may be more than one correct statement; check all that are true. a) The pooled-variance t works much better than Welch when the population variances are very different. O b) We use the pooled-variance t when constructing confidence intervals, but Welch for hypothesis testing. c) Both the pooled-variancet and Welch t assume the population variances are known. d) If we are in a two-sample inference situation where the population variances are very different and the sample sizes are very different, it is better to use Welch than the pooled-variance t.
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