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What is the probability that the sample mean height is >65 mean64.4

Mathematics
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what is the probability that the sample height is 65 given a mean of 64.4 and standard

Deviation of 2.74 and a sample of 70

Oct 18th, 2014

First compute sample deviation.  It is 2.74/sq. rt 70 = 0.3274.

z score =. sample height-mean/sample deviation

            =. 65 - 64.4/0.3274.  =0.6/0.3274

            =  1.83

Refer to z score table that gives the probability for a z score higher than 1.83 is 1.00 - o.9664

Therefore the required probability is  0.0336.

Oct 18th, 2014

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