Please use the following info. for the assgn:Pop. mean = 88.96Pop. std. dev. = 68.38Sample size = 30Sample mean = 89.58Sample std. dev. = 19.88 For this assignment you are to imagine that you are part of a select marketing group. This select group has been asked to consider the Colorado City Convention and Visitors Bureau survey of 25 hotels in the local area. The survey is concerned with the current availability of rooms. The availability of the rooms was as follows: 90, 72, 75, 60, 75, 72, 84, 72, 88, 74, 105, 115, 68, 74, 80, 64, 414, 82, 48, 58, 60, 80, 48, 58, and 108. Each person in the marketing group must select a sample of 10 hotels from the list. Consider the average available for all hotel rooms from the previous assignment. Identify the point estimate of the average number of available hotel rooms in this lesson from each sample. Construct and Interpret a 95% confidence level for the true mean number of available hotel rooms, based on the point estimate of each sample. Describe how the confidence intervals will change depending on whether the population standard deviation is known or unknown.