Question

Question 4 2 pts Acme Products manufactures widgets. It has two machines which produce widgets. It is desirable that both machines produce widgets of the same dimensions. At regular time intervals Acme's quality control tests the widgets from both machines. The last test produced the following results. Assume that the two Standard Deviations are equal (pooled Yes) SM1 = 5.61 S1 = 1.07 n1 = 100 SM2 = 5.89 S2 = 1.26 n2 = 100 Calculate a 95% confidence interval for u1-u2. (.0133,0891) (.0326,.1182) O (-.7207,.0611) (-:6060, .0460)

Answer 1

solution:- option: (-0.6060 , 0.0460)

explanation:-

given from the above information

degree of freedom df = (n1+n2)-2 = (100+100)-2 = 198

we look into t-distribution table with df = 198 and with 95% confidence level

critical value t = 1.972

confidence interval

formula

=> (mean1-mean2) +/- t * sqrt(s1^2/n1 + s2^2/n2)

=> (5.61-5.89) +/- 1.972*sqrt((1.07^2/100) + (1.26^2/100))

=> (-0.6060 , 0.0460)