-3x₁ + x₂ + 12x3 = 50 6X₁ X₂ X3 = 3 6x₁ + 9x₂ + x3 = 40 -

70°F Rain coming The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day Store 1 Store 2 144Hz 1 Explanation 565 Difference (Store 1 - Store 2) Send data to calculator V 698 Check 2 3 409 554 362 604 4 540 698 5 321 6 685 450 801 (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 Ho 7 O Search 804 840 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of…

Use the Gaussian Elimination to solve the following equations to find x1, x2, x3 and x4 values.  Please show all steps of Gaussian elimination.

Use 3 iterations Use Gauss-Seidel iteration to find the root x3) = (x,(3) X3) of the following system of equations with initial guess X = (0,0,0) 5x,-X2+2x3= 12 3x1+8x2-2x3 = - 25 X1+x2+4X3=6