1.A sample of n=43n=43 data values randomly collected from a normally distributed population has variance s2=25.6s2=25.6

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1.A sample of n=43n=43 data values randomly collectedfrom a normally distributed population hasvariance s2=25.6s2=25.6. We wish to test the nullhypothesis H0:σ2=44.6H0:σ2=44.6 against the alternativehypothesis H1:σ2<44.6H1:σ2<44.6 at a significanceof α=0.01α=0.01.
What is the value of the test statistic? Write your answerrounded to 3 decimal places.
What is the critical value? Write your answer rounded to 3decimal places.
Do we reject the null hypothesis?
2. A sample of n=37n=37 data values randomlycollected from a normally distributed population has standarddeviation s=2.3s=2.3. We wish to test the nullhypothesis H0:σ=3.4H0:σ=3.4 against the alternativehypothesis H1:σ≠3.4H1:σ≠3.4 at a significanceof α=0.01α=0.01.
What is the value of the test statistic? Write your answerrounded to 3 decimal places.
What are the critical values? Write your answers rounded to 3decimal places.Lower CV: Upper CV:
Do we reject the null hypothesis?