10.A sample of n=33n=33 data values randomly collected from a normally distributed population has variance s2=28.1s2=28.

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10.A sample of n=33n=33 data values randomly collectedfrom a normally distributed population hasvariance s2=28.1s2=28.1. We wish to test the nullhypothesis H0:σ2=18.5H0:σ2=18.5 against the alternativehypothesis H1:σ2>18.5H1:σ2>18.5 at a significanceof α=0.05α=0.05.
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?
11.A sample of n=37n=37 data values randomly selectedfrom a normally distributed population has standarddeviation s=8s=8. Construct a 99% confidence interval for thepopulation standard deviation. Round your endpoints to one decimalplace.