Answer:
99% one-sided lower confidence bound = 26.77
Step-by-step explanation:
We have to calculate a 99% one-sided lower confidence bound for the population variance.
The sample size is n=25.
The degrees of freedom are then:
[tex]df=n-1=25-1=24[/tex]
The critical value of the chi-square for this confidence bound is:
[tex]\chi^2_{0.01, \,24}=42.98[/tex]
Then, the lower confidence bound can be calculated as:
[tex]LB=\dfrac{(n-1)s^2}{\chi^2_{0.01,24}}=\dfrac{24\cdot(6.9)^2}{42.98}=\dfrac{1,142.64}{42.68}=26.77[/tex]
