SUMO Some people believe that the N(555, 101)lbs distribution is not the correct model for sumo wrestlers’ weights. Their opinion is that the N(326, 80)lbs distribution is a better model. Manny Yarbrough, a former American sumo wrestling champion, weighed roughly 700 lbs.

If we use the N(555, 101)lbs model, would Manny’s weight be considered typical or unusually high?
i. There is a certain number that you would calculate and then use to answer the above question. Which of the following options is it?

a. (700-555)/sqrt(101) = 14.43
b. (555-700)/sqrt(101) = -14.43
c. 700/sqrt(101) = 69.65
d. (555-700)/101 = -1.44
e. (700-555)/101 = 1.44
f. 700-(3101) = 397
g. 555-(3101) = 252

[tex]N(\mu\ , \ \sigma)= N(555,101)\\\\ \frac{N}{\mu}= 326\\\\\sigma=80\\\\\text{manny has weight}=700 \ lbs\\\\\to z-score= \frac{x-\mu}{\sigma}[/tex]

[tex]=\frac{(700-555)}{101} \\\\ = \frac{(145)}{101} \\\\ = 1.44[/tex]

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