M9.2: Hypothesis Testing Unknown Push Yourself: By-Hand Exercise Hypothesis Test for Pop. Mean (o Unknown) By-Hand: Show ALL relevant steps, notation, math/Excel formulas, step-by-step conditions and calculations. Remember to check Canvas videos/attend class to get missing numbers. Follow previous By-hand problems (but try to push yourself on this unguided problem) Clearly identify ALL pre-process steps, work to perform the following Hypothesis Test using BOTH the rejection region / critical value Method and the p-Value Method, decision(s) and conclusion(s) Exercise: Hallmark would like to test the hypothesis that those celebrating Valentine's Day will spend more than an average of $ 132 on gifts. A random sample of 2 people celebrating Valentine's Day spent an average of $_/65.50 with a standard deviation of $_32. 75 . Hall- mark would like to set a =_ 04 (Assume the population data follow a normal probability distribution.) Show Work