Problem 3: Tax Preparation Savings? Every year, Americans ll out their tax return forms (this year, Tax Day was moved until May 17"). A new tax preparation company wanted to advertise that their company would save the average individual money compared to an individual using an online tax preparation software. To determine if there was evidence to support their claim, the company decided to conduct an experiment. In the experiment, a random sample of 15 American tax lers was selected and their taxes were prepared by the company's most senior accountant as well as from the software (both free of charge). To keep the software preparation uniform, one independent accountant prepared each of the 15 tax lers' taxes in the same way without knowledge of the company's work. The data set is called \"Tax Preparation Savings\" and data are presented in dollars. Negative values are the amount an individual tax ler would have to pay. Assume all conditions hold and use a signicance level of 0.10 when you test the hypothesis. a} Calculate the difference between the company results and the software result for each individual tax ler, (subtract Company So1+.=are) using StatCrunch. List the difference for each of the pairs in one column in your solutions document. b) Obtain the sample mean of these differences and the sample standard deviation of these differences in StatCrunch. Copy the table that you obtain from StatCrunch and round the values to two decimal places. c) Dene the population parameter in context in one sentence. (1) State the null and alternative hypotheses using correct notation. e} Calculate the test statistic. Please do this \"by hand\" using the fomlula and showing your work (please type your work). Use the values you obtained in part (b). Round the test statistic to three decimal places. 1) Calculate the pvalue using the T-calculator in StatCrunch (STAT -) Calcnlators -) T)