STAT-245 Lab #3 (Winter 2D22] Measuring the Acceleration Due to Gravity Using a Simple Pendulum Period of a Pendulum The period of a pendulum can he found as: where .':'"=I'.:':' g L = length of the pendulum g = acceleration due to gravity {i.e. the gravity field strength] T - period {time for one oscillation: Experimental Procedure 1. Build a pendulum that is approximately 2DEE cm in length. A pendulum consists of a piece of string {or a cord] that is attached to a mass at one end. The length of the pendulum is taken from where you will hold it to the center of mass. Take a picture of your pendulum and include it in the lab report. [5 points} Lift the pendulum to a starting angle of about 20 degrees or less (accuracy not that important}. Using a timerr determine how long it takes for 5 complete swings. This allows you to lower the relative error of human reaction time. Repeat this process 15 times, recording your results to the nearest lCIDr1~ of a second. Record your raw data in an excel workbook. Answer the following questions within that file. {5 points} Describe this data setr using the terminology we have learned in this course. {5 pointe} Use excel to determine the following: a, The coefficient of variation. (3 points} b. Make a boxplot of the data. Is it skewed? {5 points} c. The 90 percent confidence interval of the period of your pendulum. {5 points} d. The 95 percent confidence interval of the acceleration due to gravity. {5 points} e. What sample size is needed to be 99% confident that your result is accurate to within U.D2 mfsz? {5 points} f. Conduct a formal hypothesis test to show that the acceleration due to gravity is 9.31 mfs7. (use EI=D.DEJ {E paints] g. Write a EDDword conclusion to comment on your results and identify ways to improve the experiment. {3 points}