You may need to use the appropriate appendix table or technology to answer this question. A sample of 121 checked bags at an airport had an average weight of 39 pounds with a standard deviation of 5 pounds (a) At 95% confidence, compute the margin of error (in pounds) (Round your answer to four decimal places.) 12473 lbs Explain what it shows Approximately 95% of all samples of size 121 will produce a sample mean and margin of error such that the distance between the sample mean and the population mean is at the margin of error Owe can say with 0.95 probabaty that the distance between the sample mean of 39 pounds and the population mean is at least the margin of error calcuated above. We can say with 0.95 probability that the distance between the sample mean of 39 pounds and the population mean is at most the margin of error calculated above. O Approximately 95% of all samples of size 121 will produce a sample mean and margin of error such that the distance between the sample mean and the population mean is at least the margin of emor Approximately 55% of all samples of size 121 will produce a sample mean and margin of error such that the distance between the sample mean and the population meth margin of error (b) Determine a 95% confidence interval for the population mean weight of checked bags at the airport (in pounds). (Round your answers to two decimal places) the to 4125 37.75