Also, review the t test scenarios found in this week’s Learning Resources and consider the three different approaches of t tests: Independent sample t test Paired sample t test One sample t test Based on each of the three research scenarios provided, open the High School Longitudinal Study dataset or the Afrobarometer dataset from this week’s Learning Resources using SPSS software, then choose and run the appropriate t test. Once you perform your t test analyses, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document. For this Assignment: Write a 2 to 3-paragraph analysis of your t test results for each research scenario and include the SPSS syntax and output.  If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES. Do not forget to evaluate if the t test assumptions are met, justify the selection of type of t test, and report the effect size. Based on your results, provide an explanation of what the implications of social change might be.

Overview and RationaleIn this project you will use linear programming to maximize profit. This will help you understand business problems, translate the business requirements into mathematical terms, and apply linear algebra to problem-solving.Problem:A northern hardware company is studying a plan to open a new distribution center in the southeast. The company plans to rent a warehouse and an adjacent office and distribute its main products to the local dealers. The company has decided to initially start with four of its main products: Pressure washers, Go karts, Generators, and Water pumps. You will help the company maximize profits by using linear programming to find the best solution.Note: Since we will use sensitivity report, fractional solution is appropriate. Please round your final results to get an integer solution.