A sample of n=31n=31 data values randomly collected from a normally distributed population has variance s2=27.5s2=27.5. We wish to test the null hypothesis H0:σ2=52.4H0:σ2=52.4 against the alternative hypothesis H1:σ2<52.4H1:σ2<52.4 at a significance of α=0.01α=0.01. 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=31n=31 data values randomly collected from a normally distributed population has variance s2=27.5s2=27.5. We wish to test the null hypothesis H0:σ2=52.4H0:σ2=52.4 against the alternative hypothesis H1:σ2<52.4H1:σ2<52.4 at a significance of α=0.01α=0.01.

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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