Question

hi could you help me find the margin of error , i have no idea what it is.

Chapter 10, Section 10.1, Problem 004 The following information is obtained from two independent samples selected from two populations. n1 = 106 , X,-242 , σ1 = 5.4 P2-199 , X2-25.5 , σ2-5.8 μ 1-μ 2 a. what is the point estimate of The point estimate for μ 1-μ 2 is -1.3 b. Determine the 95% confidence interval for μ 1-μ 2 , and find the margin of error for this estimate. Round your answers to two decimal places. The 95% confidence interval for μ1-μ2 is from -2.606 to 0.0062 , with the margin of error

Answer 1

A 95% confidence level has significance level of 0.05 and critical value is,

af2-1.96

The margin of error ( E ) is,

a) (5.8)2 199-= 1.3062 / (3.4)2 1.96 * + = n2

The 95% confidence interval is,

$(\bar x_1- \bar x_2 ) - E < \mu_1-\mu_2 < (\bar x_1- \bar x_2 ) + E$

(24.2-25.5)-1.3062 < μι-H2 < (24.2-25.5) + 1.3062

(-1,3) _ 1.3062 < μι-H2 < (-1.3) + 1.3062

2.6062 < μι-N2 < 0.0062

Therefore, the 95% confidence interval for $\mu_1-\mu_2$ is from -2.6062 to 0.0062 , with the margin of error 1.3062