You are the coach of a basketball team that is currently looking for new players. One of the criteria for
selection as a player is that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do not want to rule out any potential players by making the cut-off height too strict.
You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 71.8 in and a standard deviation of 2.9 in.
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. Give your answer in inches to the nearest inch.
C= ?? inches