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    Confidence intervals

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    A Variable has a mean of 100 and a standard deviation of 16. Four observations of this variable have a mean of 108 and a sample standard deviation of 12. Test whether the sample has been drawn from the population.

    a. Standardized version of x (sample mean).

    b. Studentized version of x (sample mean).

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    Solution Preview

    Population mean M = 100
    Standard deviation s= 16

    Sample mean x= 108
    Standard deviation s= 12
    Sample size= 4

    Significance level is not mentioned. Let us assume it to be alpha (a) = 0.05

    We have to test whether the sample is from the population.

    a. Standardized ...

    Solution Summary

    The solution calculates Confidence intervals for the population mean and tests whether the sample has been drawn from the population.