Room availability is as follow 90, 72, 75, 60, 75, 72, 84, 72, 88, 74, 105, 115, 68, 74, 80,64, 414, 82, 48, 58, 60, 80, 48, 58, 108. Each person in the marketing group must select a sample of 10 hotels from the list. In a reoport prepare and submitted by yourself, describe the methods your imaginary group chose to select the 10 hotels. Discuss pros and cons of each sampling method. Calculate the average number of available rooms in one sample. Calculate the standard deviation of the number of available rooms in that sample. Construct a frequency distribution of the sample mean, and plot a histogram of this distribution. Use the central limit theorem to calculate and identify the sampling distribution of the sample mean.