A confidence interval for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$ is $( - 5,8 )$. Which of the following inferences is correct? A) $\mu _ { 1 } = \mu _ { 2 }$ B) $\mu _ { 1 } \mu _ { 2 }$ D) no significant difference between means

Question

A confidence interval for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$ is $( - 5,8 )$. Which of the following inferences is correct?
A) $\mu _ { 1 } = \mu _ { 2 }$
B) $\mu _ { 1 } < \mu _ { 2 }$
C) $\mu _ { 1 } > \mu _ { 2 }$
D) no significant difference between means

Quizplus · Accepted Answer

The confidence interval for $(\mu_1 - \mu_2)$ includes 0 (from -5 to 8), which suggests that there is no significant evidence to conclude that $\mu_1$ is different from $\mu_2$; hence, there is no significant difference between the means.

A Confidence Interval For (μ1−μ2)\left( \mu _ { 1 } - \mu _ { 2 } \right)(μ1​−μ2​)

A Confidence Interval For $\left( \mu _ { 1 } - \mu _ { 2 } \right)$