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A Sample Standard Deviation and Sample Size Are Given s=13.1,n=22\mathrm { s } = 13.1 , \mathrm { n } = 22

Question 43

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation x2-test to conduct the requiredhypothesis test.
- s=13.1,n=22\mathrm { s } = 13.1 , \mathrm { n } = 22
H0:σ=16.1,Ha:σ<16.1,α=0.01\mathrm { H } _ { 0 } : \sigma = 16.1 , \mathrm { H } _ { \mathrm { a } } : \sigma < 16.1 , \alpha = 0.01


A) Test statistic: X2=13.903\mathrm { X } ^ { 2 } = 13.903 . Critical value =8.897= 8.897 . Do not reject H0\mathrm { H } _ { 0 } .
B) Test statistic: X2=13.903\mathrm { X } ^ { 2 } = 13.903 . Critical value =8.897= 8.897 . Reject H0\mathrm { H } _ { 0 } .
C) Test statistic: X2=13.903X ^ { 2 } = 13.903 . Critical value =38.932= 38.932 . Reject H0\mathrm { H } _ { 0 } .
D) Test statistic: X2=13.903\mathrm { X } ^ { 2 } = 13.903 . Critical value =38.932= 38.932 . Do not reject H0\mathrm { H } _ { 0 } .

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