Answer Question 1, each part of the question has a corresponding point value seen in ()...

Answer Question 1, each part of the question has a corresponding point value seen in ()

1A company that manufactures military hats reports that the mean head circumference of all men in the military is 22.05 inches with a standard deviation of 0.68 inches. Suppose the distribution of head circumference is approximately normal, and one man in the military is selected at random.

a.Find the probability that the man’s head circumference is less than 21 inches (2 pts)

b.Find the probability that the man’s head circumference is between 22 and 23 inches (5 pts)

c.If a man in the military has a head circumference greater than 24 inches, a surcharge is applied to the cost of the hat. What is the probability that a surcharge will be applied? (3pts)

d.Find a symmetric interval about the mean such that P= 0.9500 of all measurements lie in this interval (7 pts).

1B The NHANES report, 2005-2006, What We Eat in America, studies the nutrient intakes from food for individuals over 2 years old. For women age 20 and over, the mean amount of selenium consumed from food per day was 92.6 μg. Assume the standard deviation is 18.4 μg and the amount of selenium consumed per day is normally distributed. Suppose a woman over age 20 is randomly selected.

a.Find the probability that her daily intake of selenium from food will be at most 100 μg. (2pts)

b.Find the probability that her daily intake of selenium from food will be between 60 and 75 μg. (5pts).

c.Suppose the FDA has established 90 μg of selenium from food as the minimum daily intake. Find the probability that the woman randomly selected will meet this minimum. (3pts)

d.Find a valuexsuch that P= 0.7500of all women in this age group have a daily intake of selenium from food of at mostxgrams (2pts)

Expert Solution

orchestra answered 2 years ago

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