Given $n _ { 1 } = 15 , n _ { 2 } = 21 , \mathrm {~S} = 258.5 , \text { and } H _ { 1 } : m _ { 1 } \neq m _ { 2 } ,$ compute $\sigma _ { s }$
A) -0.61
B) 277.5
C) 37
D) 31.16

Name: Given $n _ { 1 } = 15 , n _ { 2 } = 21 , \mathrm {~S} = 258.5 , \text { and } H _ { 1 } : m _ { 1 } \neq m _ { 2 } ,$ compute $\sigma _ { s }$ A) -0.61 B) 277.5 C) 37 D) 31.16
Brand: Quizplus
Rating: 4.9 (37 reviews)

Question

Given $n _ { 1 } = 15 , n _ { 2 } = 21 , \mathrm {~S} = 258.5 , \text { and } H _ { 1 } : m _ { 1 } \neq m _ { 2 } ,$ compute $\sigma _ { s }$
A)  -0.61 
B)  277.5 
C) 37
D)  31.16

Quizplus · Accepted Answer

$\sigma_s = \sqrt{\frac{n_1n_2}{n_1+n_2}S} = \sqrt{\frac{15 \times 21}{15+21}258.5} = 31.16.$

Given n1=15,n2=21, S=258.5, and H1:m1≠m2,n _ { 1 } = 15 , n _ { 2 } = 21 , \mathrm {~S} = 258.5 , \text { and } H _ { 1 } : m _ { 1 } \neq m _ { 2 } ,n1​=15,n2​=21, S=258.5, and H1​:m1​=m2​,

Given $n _ { 1 } = 15 , n _ { 2 } = 21 , \mathrm {~S} = 258.5 , \text { and } H _ { 1 } : m _ { 1 } \neq m _ { 2 } ,$