(a) A z-score of 1.75 has been determined.Give an appropriat

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  • (a) A z-score of 1.75 has been determined.Give an appropriate interpretation of this

    value.The probability of obtaining a z value of 1.75 is 0.4599.

    (b) What proportion of a normally distributed population has a z-score larger than

    1.75?0.5-0.4599=0.0401

    (c) Find the mean and standard deviation of the following sample accurate to three decimal places:

    12.2 10.8 14.3 13.6 12.9 15.2 15.8 14.7 mean= 13.688 standard deviation=1.660

    (d) Using the results from part (c),what is the z-score of the number 12.z=-0.47

    (e) What is the number in the data set with z-score closest to 0.61?14.7

    (f) Give two distinct reasons why z-scores are useful in statistics.

    To designate this particular normal random variable

    Find and comput probabilities