Answer to Question #184435 in Statistics and Probability for Monina Saraza

Question #184435

The 95% confidence interval for the variance and standard deviation for the sugar content in an ice cream (in mg) if the sample of nine servings has a variance of 36.


1
Expert's answer
2021-05-07T12:28:13-0400

Consider that the sample mean =10=xˉ= 10 = \bar x

Sample variance =s=36= s = 36

Sample size = 99

z score for 95% confidence =1.96= 1.96

Hence,

CI=xˉ±zsnCI = \bar x \pm z \dfrac{s}{\sqrt{n}}


CI=10±1.96×363CI = 10 \pm 1.96 \times \dfrac {36}{3}


CI=10±23.52CI = 10 \pm 23.52


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