A pediatrician's records showed the mean height of a random sample of 25 girls at age 12 months to be 29.530 inches with a standard deviation of 1.0953 inches. Construct a 95% confidence interval for the population variance. (Round your answers to 4 decimal places.)

Answer:Confidence interval for the population variance = (0.7476,1.6516)Step-by-step explanation:We are given the following information in the question:n = 25Sample mean, [tex]\bar{x}[/tex] = 29.530 inchesAlpha, α = 0.05Sample standard deviation, s = 1.0953 inchesConfidence interval: [tex]s^2 \pm t_{critical}\frac{s}{\sqrt{n}}[/tex] Putting the values, we get, [tex]t_{critical}\text{ at degree of freedom 24 and at}~\alpha_{0.05} = \pm 2.0638[/tex] [tex](1.0953)^2 \pm 2.0638(\frac{1.0953}{\sqrt{25}} ) = 1.1996 \pm 0.452 = (0.7476,1.6516)[/tex]