Question

Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below.

n1= 55, n2= 65, xbar1= 35.5, xbar2= 31.4, s1= 5.7, s2= 3.3

1.) Construct a 95% confidence interval for the difference in the population means (mu1- mu2). (Round your answers to two decimal places)

2.) Find a point estimate for the fifference in the population means.

3.) Calculate a margin of error. (Round your answer to two decimal places)

Answer 1

65 Ans: n= 55, M2 = 65 x = 35.5 = 31.4, S = 5.7 S₂ = 3.3 .) 954 Gonfidence forderal -(0, -3,2)+7 =(35.5 - 31.4) 1.96 573.3 = 4.14 1.681 = ( 2,419, 5.781) Therefoe, (2.42 < (1 - 112) < 5.78) 2) pont estimate = x - 72 - 35.5-31.4 - 4 ) ) 2) Margh of end = 2, XS 6 = 2x ) sh sh = 1.968 5.72 3.32 El 68 55 75