Acommercial farm uses a machine that packages carrots in eighteen ounce portions. a sample of 7 packages of carrots has a standard deviation of 0.19. construct the 95% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine. round your answers to two decimal places.

Step-by-step explanation:

Confidence interval for standard deviation is given by :-

Given : Confidence level :

⇒

Sample size : n= 7

Degree of freedom = 6    (df= n-1)

sample standard deviation : s= 0.19

Critical values by using chi-square distribution table :

Confidence interval for standard deviation of the weights of the packages prepared by the machine is given by :-

Hence, the 95% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine.  :

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