Public Health and Nutrition
The amount of sodium in a randomly selected eight-ounce serving of chicken noodle soup has a normal distribution with mean μ = 1737 mg and standard deviation σ = 150 mg.24 Suppose an eight-ounce serving is randomly selected.
a. What is the probability that the amount of sodium is more than 1500 mg?
b. What is the probability that the amount of sodium is between 1700 and 2000 mg?
c. Find a symmetric interval about the mean such that 90% of all eight-ounce servings have amounts of sodium in that interval.
d. Suppose a randomly selected eight-ounce serving has a sodium level of 2100 mg. Is there any evidence to suggest the mean sodium level reported above is false?