Two samples are drawn from two different populations. A 95% confidence interval

Question

Two samples are drawn from two different populations. A 95% confidence interval is calculated for the difference between the means and found to be [-24,28].

Assuming sample sizes are fairly large, which of the following is most likely to be true? (Based only on the information given)

One population mean is substantially larger than the other

One sample size is prominently larger than the other

One sample standard deviation is prominently larger than the other

The population means are probably not that different, irrespective of the sample means drawn from the populations

The sample means are approximately equal, but the standard deviations are quite different

Explanation / Answer

One population mean is substantially larger than the other

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