1 TIMEREMAINING 48:21 Suppose the mean of a normally distributed population is 300 , and 200 simple random samples are drawn from the population. At a \( 68 \% \) confidence level, (one standard deviation from the mean), about how many of the samples' confidence intervals would you expect to contain the population mean? 64 96 136 204

In a normally distributed population, approximately 68% of the data lies within one standard deviation from the mean. Since you have drawn 200 simple random samples, you can expect that about 68% of those samples' confidence intervals will contain the population mean. This means that around 136 of those samples (200 x 0.68) would likely include the true population mean of 300. If you ever find yourself confused about interpreting confidence intervals, remember that they are not about the individual sample, but rather about the long-term behavior if the same process were repeated many times. So, if you were to conduct this sampling repeatedly, around 68% of your intervals would capture the mean!