In: Statistics and Probability
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 0.9 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.
a. What is the distribution of X? X ~ N( , )
b. Find the probability that this American man consumes between 9.8 and 10.4 grams of sodium per day.
c. The middle 10% of American men consume between what two weights of sodium? Low: High:
a)
b)
The following is obtained graphically:
c)
The lower value = 9.6 - 0.9 * 0.12566 = 9.486906
The upper value = 9.6 + 0.9 * 0.12566 = 9.713094
The following is obtained graphically:
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