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4) Calculation for exercise #4

Again, z = X- μ    = 100-70  = 30/10 = 3.00   From the z tables the value of 3.00 corresponds to 0.015 or 0.15%

                 σ            10

 

This means that only 0.15%  have a heart rate above 3 standard deviations (greater than 100 beats per minute).

 

5) For calculations for this question, please see the earlier slide on this problem and diagram. The answer is 0.3%. This means that only 0.3% have a heart rate either below or above 3 standard deviations (less than 40 or greater than 100 beats per minute).