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(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.
(b) What proportion of a normally distributed population has a z-score larger than
1.75?
(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
(d) Using the results from part (c),what is the z-score of the number 12.
(e) What is the number in the data set with z-score closest to 0.61?
(f) Give two distinct reasons why z-scores are useful in statistics.
只是把问题翻译出来也行~
(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