statistics
Problem 3: Your own experiment 10 points For this problem, you will collect data on any variables of interest [sample size for each group of the two groups n=>3E|]I and perform your own two-sided significance test for comparing two independent population means. You can also simulate your own data if nding a sample data set is too challenging. To give you some ideas, in the past, students have investigated the following: Ex. 1 a student collected data on productivity times across 2 groups: night-shift workers and day-shift workers....and they tested for a significant difference between the mean productivity time across shifts. Ex. 2 a student collected data on finish times for a mile race across 2 groups: a group of runners accustomed to doing the M dash versus a group that specializes in hurdles....and they tested for a signicant difference between the mean finish times across specialties. Try to have fun, and think of something that relates to yourjob or hobby. For this question, address the following: 3a A brief introductory paragraph describing the problem. 3b Set up your framework in a null and alternative hypothesis using symbols and notation as they are presented in the textbook. Student hint: there is a screenshot ofthe null and alternative in the Appendix. Be A paragraph describing how you collected the data [i.e., the number of observations, time of day, etc. Please present the raw data in an excel tablegnd you can paste it here or take a screenshot of the data. Remember it can be real data you've collected or simulated data that relates to your experiment. 3d Create a graph of the means of the two samples using Excel. Clearly label your axes, and give your figure a title. 3e Conduct the t-test for independent samples. Present your output and based on what you find, state your decision l[whether you reject or fail to reject the Ho) and conclusion (whether you have sufficient or insufficient evidence for H1}. Output here Results explained here