3.A sample of n=44n=44 data values randomly collected from a normally distributed population has standard deviation s=3s

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3.A sample of n=44n=44 data values randomly collectedfrom a normally distributed population has standarddeviation s=3s=3. We wish to test the nullhypothesis H0:σ=2.4H0:σ=2.4 against the alternativehypothesis H1:σ≠2.4H1:σ≠2.4 at a significanceof α=0.10α=0.10.
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=47n=47 data values randomly collectedfrom a normally distributed population hasvariance s2=19.3s2=19.3. We wish to test the nullhypothesis H0:σ2=14.3H0:σ2=14.3 against the alternativehypothesis H1:σ2>14.3H1:σ2>14.3 at a significanceof α=0.10α=0.10.
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?