Question: A soft drink machine is regulated so that the amount of drink it dispenses follows a normal distribution with a known standard deviation, and it

A soft drink machine is regulated so that the amount of drink it dispenses follows a normal distribution with a known standard deviation, and it is believed that standard deviation of the drinks dispensed is 20 milliliters. However, a random sample of 30 drinks from the machine produced an average value of 373 milliliters and standard deviation of 23.4 milliliters; therefore, based on the results 4 from sample data, there is concern that population standard deviation might be higher than what is believed. Check the validity of the concern by determining a 95% confidence interval for the standard deviation of all drinks dispensed by this machine.

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