Two samples of the same size are drawn from the two different populations. Both

Question

Two samples of the same size are drawn from the two different populations. Both samples have approximately the same mean but the 95% confidence intervals are substantially different in range Assuming sample sizes are fairly large, which of the following is most likely to be true? a.)The populations have vastly different population standard deviations b.)The sample with the smaller confidence interval has a smaller sample standard deviation c.)Different degrees of freedom are used for the t-distribution, in calculating confidence intervals for each sample. d.)For the sample with the larger confidence interval, the sample standard deviation is likely much larger than the population standard deviation e.)The population means are probably quite different

Explanation / Answer

a.)The populations have vastly different population standard deviations

c.)Different degrees of freedom are used for the t-distribution, in calculating confidence intervals for each sample.

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