The airline company Skyology Inc. selected a small group of three customers, whom we will call A, B, and C. The customers were asked to rate their experience on a scale of 1 to 10, where a rating of 1 means "very poof' and 10 means "very good". Here are the results. Customer Rating A 8 B 8 C 9 Consider these three customers to be a population. (The population mean of their ratings is p. = 8.33 and the population standard deviation of their ratings is G = 0.4T.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One customer is randomly selected, their rating is recorded, and the customer is put back into the "pool" to be chosen from. Then for a second time a customer is Iandomlylr selected and their rating is recorded. There are 9 possible samples. The ratings for sevelal of the possible samples have been listed in the table below. Enter the Iatings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, ;" column, you will then see the sample mean of the ratings for each sample, along with the mean and standard deviation of all the column's values. \f(b) Use the table from part (a) to nd p; (the mean of the sampling distribution of the sample mean) and G; (the standard devi: of the sampling distribution of the sample mean). Write your answers to two decimal places. C! 'l: a| 3| II II |:l|:l (E) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Frequency 5 4 Rating Frequency 5 4 E! 3.5 9 Sample mean