Why is important to perform a hypothesis test about a standard deviation?

Rene Nicholson

Rene Nicholson

Answered question

2022-10-21

Why is important to perform a hypothesis test about a standard deviation?

Answer & Explanation

wlanauee

wlanauee

Beginner2022-10-22Added 17 answers

Knowing the mean of a population is important, but just as important is the accuracy and precision of your measurement. If you design a machine to fill 20 oz. soda bottles, you may find that the actual sample mean is 19.8 o z ± 0.3 o z. Great.
But margins of error are calculated from standard deviations, not the mean. How do you know the margin of error is 0.3 oz and not 3.0 oz? If you can't predict your standard deviation within a given interval, i.e. if your standard deviation is not accurate, your margin of error will be inaccurate.
It's important to not only estimate the population mean, but having a low margin of error for the standard deviation will help you make that prediction with a lower amount of error.

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