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Question

Given a simple random sample of 20 speeds of cars on Highway 405 in California, you want to test the claim that the sample values are from a population with a mean greater than the posted speed limit of $65 \mathrm{mi} / \mathrm{h}$. Is it necessary to determine whether the sample is from a normally distributed population? If so, what methods can be used to make that determination?

Solution

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1 of 2It is necessary to determine whether the sample is from a normally distributed population, because the sample size is less than 30 and then a normal distribution is one of the requirements.

You can check this by creating a histogram (which should be roughly bell-shaped) or creating a normal probability plot (which should be roughly linear).

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