Find the solution of each of the following initial-value problems. yfl+2y'+y=2(t-3)H3(t); y(0)-2, ~'(0)-

- H : = 0 0 1 - 2 - H1: 1 -≠20 D 00 b. It is two-tailed c. What are the critical values - 2 tail test, large sample - =2% - /2=.01 - +/- z 01 t table tells us it’s 2.326 (z table only tells us 2.33) d. rejection rule - Reject 1 -2 if TS is greater than 2.326 or less than -2.326 e. Calculate Test statist2c 2 - (x1 -x2 – 0 / √[(���1/ n 1 + (���2/ n 2] - (34.3-36.2-0)/√[(5.8 /100)+(6.2 /100)] 2 - =-2.24 not in rejection region! f. Conclusion - Since TS of -2.24 > 2.326 and -2.24