BASVSl-t - Mathematics for Applied Sciences Practical Exercise #4 The following problem will ask you to demonstrate the inferential statistics skills we learned in class. Remember to make use of the defmitions covered in the reading and lecture and review the details in the rubric before submitting. You will be scored on: Correct interpretation 8: set-Up of the problem Correct computations Correct interpretation of statistics Organization and neatness Part 1 One Sample T-Test Kari, coowner of Sababa's Pub, believes her business sells an lverage of 19 pints of Pineapple Ale daily. Her partner. Olivia, thinks her estimate is wrong. A random sample of 36 days shows a mean sales of 1? pints and a samme standard deviation of 4 pints. Test the accuracy of Karl's perception with t: = 0.05. a) State the null and alteirtative hypothesis in symbols and in words. b) Perform a hypothesis test. Findistate your descriptive statistics {including standard error) and find the tcritical. the tcalculated. c) What is your conclusion? State this with words. Part 2 Two Sample TTest The athletes at a jiu-jitsu gym are training for a toumament. Their coach, Andre, wants to determine if the athletes in the middle weight and heavy weight classes train about the same number of tinms per week, on average. He samples 12 adilems from each weight class. The middle weight athletes have a sample mean of 6 sessions per week with a sarnple standard deviation of 05. The heavy weight athletes have a samme mean of 5.5 sessions per week with a sample standard deviation of 1. Evaluate the similarity between these samples with t: = {HIIL a) State the null and alternative hypothesis in symbols and in words. b) Perform a hypothesis test. Findistate your descriptive statistics {including standard error) and find the tcritical. the tcalculated. c) What is your conclusion? State this with words