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s1=20.4,n1=16, s2=21.9,n2=13\mathrm { s } _ { 1 } = 20.4 , \mathrm { n } _ { 1 } = 16 , \mathrm {~s} _ { 2 } = 21.9 , \mathrm { n } _ { 2 } = 13

Question 71

Multiple Choice

s1=20.4,n1=16, s2=21.9,n2=13\mathrm { s } _ { 1 } = 20.4 , \mathrm { n } _ { 1 } = 16 , \mathrm {~s} _ { 2 } = 21.9 , \mathrm { n } _ { 2 } = 13 left-tailed test, α\alpha
=0.10
Test the hypothesis that σ1<σ2 at the α=0.10\sigma _ { 1 } < \sigma _ { 2 } \text { at the } \alpha = 0.10 level of significance for the given sample data.
 Population 1  Population 2 n1613 s20.421.9\begin{array} { c | c c } & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm { n } & 16 & 13 \\\mathrm {~s} & 20.4 & 21.9\end{array}


A) Test statistic: F=0.87 . Critical value =0.495 . Do not reject H0
B) Test statistic: F=0.87 . Critical value =0.476 . Do not reject H0
C) Test statistic: F=0.87 . Critical value =0.495 . Reject H0
D) Test statistic: F=0.87 . Critical value =0.476 . Reject H0

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