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3. (15 points) A health food company claims that its diet program will help people lose weight. Twelve randomly selected participants had their weight, in pounds, measured before and after the program, with the results displayed in the table below. Test the company's claim at the 1% significance level. Assume that the differences are normally distributed with no outliers. Hint: If we calculate the differences as After - Before, then H1: Ha 0. Why? Participant A B C D E F G H I J K L Before 189 221 274 148 207 312 243 131 188 144 256 191 After 181 212 277 141 196 302 250 123 174 144 251 182 Difference (d) Name: Read this carefully: For the following scenarios, conduct a full hypothesis test where you write down all relevant statistics and parameters, check the conditions required to use the relevant distribution, state the null and alternative hypothesis and which type of test is being used, calculate the test statistic (by hand or using technology), draw and label a picture of the distribution, make a decision based on the classical or P-value approach, and write a conclusion in a complete sentence. Show all your handwritten work to receive credit. You may use a table of values, a graphing calculator, Microsoft Excel, and/or online statistics calculators. It is recommended that you use technology to assist you for this exam more so than for the previous exam. The calculations can be done by hand, but it will take longer