A. Why is it essential to collect a random sample instead of a convenience sample when using inferential statistics? ZyBooks 2.1 B. Why is it essential to collect a random sample instead of a convenience sample when using inferential statistics? ZyBooks 2.1 B.a. Explain a practical application of the CLT. Try ChatGPT or web research with this question: "What is a practical application for using the Central Limit Theorem in [name your job]?" Provide a reference. B.b. What are the four assumptions and conditions for using the CLT? C. When should the Student t-distribution be used instead of the standard normal distribution? (What are the two conditions?) Zybooks 3.5 D. Empirical Rule. Answer the next two questions. ZyBooks 3.6, ZyBooks 8.2 Probability Calculator. D.a. What are the advantages of using the empirical rule? ChatGPT or web research with this question: "What is a practical application for using the empirical rule in [name your job]?" Provide a reference. D.b. Suppose a population of animals in a zoo has an average lifespan of 15 years with a standard deviation of five (5) years and follows a normal distribution. The zoo director asks you. b.1. What is the probability that this animal species will live past 20 years? b.2. Of the 100 animals in the state zoos, how many will live past 20 years? E. Describe an example from your personal or professional experiences where you can collect data and use the empirical rule for the analysis. Discuss how knowing that information helped you. ChatGPT or web research with this question: "What is a professional experience collecting data and using the empirical rule in the [name your job]?" Provide a reference