Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal." Is the student...

Extracted text: Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal." Is the student right? Explain your answer. 平 O No. The histogram will become increasingly spread out as we take larger and larger samples, and it will not look more and more Normal, No. The histogram of the sample values will look like the population distribution, whatever it might happen to be. No, the student is only partially correct. The histogram of the sample values will get larger and larger because the number of bins will increase. This means that the shape of the sample values will appear approximately Normal. No. The histogram will have decreasing bin width as you take larger and larger samples, but it will not look more and more Normal. Yes, the student's reply is correct. The histogram of the sample values looks more and more Normal as larger and larger samples are taken