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    Computing Probability Under Normal Distribution and Conducting

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    Please look at the 3 attached files for the computing probability problems.

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    Problem 1

    (a) We need to calculate the mean and standard deviation of the 15 data.


    Standard deviation=sqrt(16.46)=4.06.

    Hence, if a number is usual, it must be within 2 standard deviations about mean.
    It is within the interval (1.89-2*4.06, 1.89+2*4.06)=(-6.23, 10.01).

    Since 15 is not ...

    Solution Summary

    The solution gives detailed steps on 3 questions focused on computing probability under normal distribution and conducting hypothesis testing under t distribution.