A sample of n=32n=32 data values randomly collected from a normally distributed population has variance s2=15.1s2=15.1. We wish to test the null hypothesis H0:σ2=22.5H0:σ2=22.5 against the alternative hypothesis H1:σ2<22.5H1:σ2<22.5 at a significance of α=0.10α=0.10. What is the value of the test statistic? Write your answer rounded to 3 decimal places.  What is the critical value? Write your answer rounded to 3 decimal places.  Do we reject the null hypothesis? We fail to reject the null hypothesis. We reject the null hypothesis.

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A sample of n=32n=32 data values randomly collected from a normally distributed population has variance s2=15.1s2=15.1. We wish to test the null hypothesis H0:σ2=22.5H0:σ2=22.5 against the alternative hypothesis H1:σ2<22.5H1:σ2<22.5 at a significance of α=0.10α=0.10.

What is the value of the test statistic? Write your answer rounded to 3 decimal places. 

What is the critical value? Write your answer rounded to 3 decimal places. 

Do we reject the null hypothesis?

  • We fail to reject the null hypothesis.
  • We reject the null hypothesis.
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