The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.
The middle 10% of American men consume between what two weights of sodium?
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Step-by-step explanation:
a) N(9.6, 0.8)
b) z = (9.8-9.6)/0.8 = 0.25 and z = (11.2-9.6)/0.8 = 2
P = 0.97725 - 0.59871 = 0.3785
c) The z value for P=0.5+0.1 = 0.6 is 0.253347
x-9.6 = 0.8*0.253347 , x=9.8
The z value for P=0.5-0.1 = 0.4 is -0.253347
x-9.6 = -0.8*0.253347, x=9.4
Low : 9.4
High: 9.8
I hope this answers your question. I will be happy to answer any follow-up questions you might have.
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