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16 December, 09:58

To test μ for an x distribution that is mound-shaped using sample size n ≥ 30, how do you decide whether to use the normal or student's t distribution?

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  1. 16 December, 10:19
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    Use the normal distribution if the population standard deviation is known.

    Use the student's t distribution when the population standard deviation is unknown.

    Explanation:

    A mound-shaped distribution refers to the normal distribution.

    A good sample size for testing against the normal distribution should be

    n > = 30.

    The condition for the sample size is satisfied.

    However, we are not given the population standard deviation, therefore it is assumed to be unknown.

    Therefore the student's t distribution should be used.
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