Consider the following population of 10 numbers. 31 36 24 30 20 26 22 18 28 41 (a) Find the population mean. (b) Rich selected one sample of nine numbers from this population. The sample included the numbers 31, 36, 24, 20, 26, 22, 18, 28 and 41. Calculate the sampling mean and sampling error for this sample. (c) Refer to part (b). When Rich calculated the sample mean, she mistakenly used the numbers 31, 36, 24, 20, 26, 22, 28, 28 and 41 to calculate the sample mean. Find the sampling and nonsampling errors in this case. (d) List all samples of nine numbers (without replacement) that can be selected from this population. Calculate the sample mean and sampling error for each of these samples.