Dwight wanted to discourage shoplifters by putting signs around the office that said, "Shoplifting is a crime!", while at the same time making sure the signs would not reduce the number of sales. To test the effect on sales, the signs were displayed every other Wednesday for 8 weeks, and the numbers of sales for those four Wednesdays were 83, 73, 81, and 79. The numbers of sales for the four alternate Wednesdays without the sign were 84, 90, 82, and 84. Using the .05 significance level, did customers make fewer purchases when the signs were displayed? Fill in the colored parts of the chart to help you with your calculations. With Sign Without Sign Score | Score-M Squared Dev from Mean Score Score-M Squared Dev from Mean 83 4 16 84 1 73 -6 36 90 5 25 31 82 79 0 0 84 -1 1 SUM 316 0 340 N DF Mean $2 dftotal S2 pooled Spooled S2MI S2M2 S2difference Sdifference d Step 1 (populations and hypotheses): Step 2 (determine the characteristics of the comparison distribution): With Sign: N = _ df = _;M=_;$2 = No Sign: N = _ df = __M= _S2 =_