Question

Colors Fonts Set as Default Document Formatting Answer the following questions: Question 1. [3+5=8 Marks] Random samples have been selected from two normally distributed populations with equal variances. The following sample data were observed, Samples from population 1 Samples from population 2 a) Find a 90% confidence interval for the difference between two population means. b) Use a significance level of 0.10 for testing the hypothesis H1 - H2 +0. (United States)
I need the answer of part B   

Answer 1

solution Sumple from population - 1 (X) 14 Sample from 2 (X2) population 12 15 lo 15 14 Jo 12 10 13 The above data by calculation. n=7 X= 14.14 5,= 1.35 n2=7 X2=))-57 S2=1.62 Consbuct goy. confidence internal for the difference between two population means. (.I= (2-72 +Cta, neth-2) Sport nin2 =(14:14 -):57 Et7.05.12) Sp/2+

et t(0.0512) = 1.782 (31-1) 5,² + (02-1) 5₂² nith2-2 (6) (1.35)² + (6) (0-62) 2 Sp = 1.4911 CI = (2.57 + (782)(19911) V7th =( 2.575 14203) =(2.577-4203 , 2.57 +).4203) = (1.1497, 3.9903) For is go% confidence internal for two population mean (1.1497 (4,-4₂C 3.9903)

D 2010 The null and alternative hypothesis is the Horrel, -4250 VS Hill-e1280 Test statistics X-82 To= Sp n + 1 (14.14-11:57) 1.4911 7 + 7 To = 2.57 0.7970 To= 3.2245] To = 1.773

Critical value tegnitiz-2) = 4(0777-2) =t(0.05,12) =1782 Conclusion since )To) - 3-2245 >t(0.05, 12) = 1.782 . We reject to