Suppose we wish to test $H _ { 0 } : \mu = 20$ vs. $H _ { \mathrm { a } } : \mu

Question

Suppose we wish to test $H _ { 0 } : \mu = 20$ vs. $H _ { \mathrm { a } } : \mu < 20$. Which of the following possible sample results gives the most evidence to support $H _ { \mathrm { a } }$ (i.e., reject $H _ { 0 }$ )?
A) $\bar { x } = 17 , s = 5$
B) $\bar { x } = 16 , s = 5$
C) $\bar { x } = 18 , s = 3$
D) $\bar { x } = 16 , s = 2$

Quizplus · Accepted Answer

The smaller the sample mean and the larger the sample standard deviation, the more evidence to support $H _ { \mathrm { a } }$.

Suppose We Wish to Test H0:μ=20H _ { 0 } : \mu = 20H0​:μ=20

Suppose We Wish to Test $H _ { 0 } : \mu = 20$