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A Sample Standard Deviation and Sample Size Are Given χ2\chi ^ { 2 }

Question 64

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation χ2\chi ^ { 2 } -test to conduct the requiredhypothesis test.
- s=2.4,n=17\mathrm { s } = 2.4 , \mathrm { n } = 17
H0:σ=3.5,Ha:σ3.5,α=0.10\mathrm { H } _ { 0 } : \sigma = 3.5 , \mathrm { H } _ { \mathrm { a } } : \sigma \neq 3.5 , \alpha = 0.10


A) Test statistic: X2=7.523X ^ { 2 } = 7.523 . Critical values =7.962,26.296.= 7.962,26.296 . Reject H0\mathrm { H } _ { 0 } .
B) Test statistic: X2=9.870X ^ { 2 } = 9.870 . Critical values =7.962,26.296.= 7.962,26.296 . Do not reject H0\mathrm { H } _ { 0 } .
C) Test statistic: X2=7.523\mathrm { X } ^ { 2 } = 7.523 . Critical values =9.312,23.542= 9.312,23.542 . Reject H0\mathrm { H } _ { 0 } .
D) Test statistic: X2=9.870\mathrm { X } ^ { 2 } = 9.870 . Critical values =9.312,23.542= 9.312,23.542 . Do not reject H0\mathrm { H } _ { 0 } .

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