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Which of the following statements are true? Select one: a. In real problems, it

ID: 3241066 • Letter: W

Question

Which of the following statements are true? Select one: a. In real problems, it is virtually always the case that the values of the population variances are unknown. b. The two-sample t test is applicable in situations in which population distributions are both normal when population variances have unknown values, and at least one of the two sample sizes are small. c. The pooled t test procedure is applicable if the two population distribution curves are assumed normal with equal spreads. d. All of the above statements are true. e. None of the above statements are true.

Explanation / Answer

Ans: Option c) is true.

There are two assumptions for the following test of comparing two independent means:

(1) the two samples are independent and

(2) each sample is randomly sampled from a population that is approximately normally distributed.

Pooled Standard Error Method (Similar Standard Deviations)

If the two standard deviations are similar (neither is more than twice of the other), then the pooled standard error is used

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