Spring 2018 5. Assume that the mean of 20 hours describes the weekly study estim

Question

Spring 2018 5. Assume that the mean of 20 hours describes the weekly study estimates for the entire student body At this point you can describe the sampling distribution of the mean as having a mean that.. A. Approximates 20 hours. B. Equals 20 hours. C. Lies within a couple of hours of 20. D. Equals the one observed sample mean. 6. About 68 percent of the sample means in this sampling distribution should be between. A. 18.50 and 21.50 hours. B. 19.50 and 20.50 hours. C. 19 and 21 hours. D. 17 and 23 hours.

Explanation / Answer

5. The central limit theorem (CLT) is a statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.

As here n=100, as per CLT mean of the sampling distribution is equal to mean of population.

So answer is B. Equals 20 hours.

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