Question

Explain specifically why it is necessary to assume that the weights of brown m&m's are normally distributed in order to use this data to perform a hypothesis test.

Answer 1

The normal distribution is the most important in it has many applications and properties useful in real life phenomena.it fits many natural phenomena. For example, heights, blood pressure, measurement error, and IQ scores follow the normal distribution.

and many of distributions follows normal distribution when sample size is large, so we can calculate easily and can make a result easily with normal distribution.

central limit theorem is widely used property of normal distribution, which is useful in computation of sampling distribution in many Sample survey or experiment. so we generally use normal distribution in hypothesis testing

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