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Name: 11' Suppose there are over 3600 students cunently registered at SUNY Adk. A question on a recent registration form determined that 30% all students believe that the \"no tobacco" policy on campus should be reconsidered. We wish to select a random sample of 80 students and ask them their opinion on the \"no tobacco" policy, a) What are the conditions that must be met in order to use the normal distribution approximation to discuss this situation? Only state the conditions and move on to part b)! (3 pts) b) Are these conditions met in this situation? Show all work or give a brief explanation for each. (3 pm) c) Determine the mean and standard deviation for the normal distribution approximation in this situation, (3 pts) page7of10 Name: d) What is the probability that among our sample, we will find that more than 29% of people will be in favor of reconsidering the "no tobacco" policy? Sketch a picture of the information provided in this question. (4 pts) 12. If we keep the level of confidence fixed (say at 95%), which of the following will result in a "wider" confidence interval? (2 pts) a) Decreasing the sample size. b) Decreasing the population size. c) Increasing the sample size. d) Increasing the population size. 13. A researcher studies the cost of houses in a region and determines that the 95% confidence interval for the proportion of houses with a pool is 31.6%