1.A sample of n=22n=22 data values randomly collected from a normally distributed population has standard deviation s=3s

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1.A sample of n=22n=22 data values randomly collectedfrom a normally distributed population has standarddeviation s=3s=3. We wish to test the nullhypothesis H0:σ=2.1H0:σ=2.1 against the alternativehypothesis H1:σ≠2.1H1:σ≠2.1 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?
2. A sample of n=31n=31 data values randomlycollected from a normally distributed population hasvariance s2=25.3s2=25.3. We wish to test the nullhypothesis H0:σ2=14.2H0:σ2=14.2 against the alternativehypothesis H1:σ2>14.2H1:σ2>14.2 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?