Questions: Explain the difference in the results of (a) and (c). The sample size in ( c ) is greater than the sample size in (a), so the standard error of the mean (or the standard deviation of the sampling distribution) in (c) is less than in (a). As the standard error increases, values become more concentrated around the mean. Therefore, the probability that the sample mean will fall close to the population mean will always decrease when the sample size increases.

Transcript text: Explain the difference in the results of (a) and (c). The sample size in ( c ) is greater than the sample size in (a), so the standard error of the mean (or the standard deviation of the sampling distribution) in (c) is less than in (a). As the standard error increases, values become more concentrated around the mean. Therefore, the probability that the sample mean will fall close to the population mean will always decrease when the sample size increases.