Breakfast food packages are listed as containing 12 ounces of cereal. The fillin

Question

Breakfast food packages are listed as containing 12 ounces of cereal. The filling machine is subject to errors that follow a normal curve with a standard deviation of 0.1 ounce. a. If the machine is set to fill a package with 12.1 ounces of cereal, what percentage of packages will be at least 0.1 ounce short of the listed 12- ounce weight? b. If the producer wishes to have at most 29c of the packages to have a shortage of 0.1 ounce or more (that is, weight under 11.9 ounces), what mean filling weight should be used?

Explanation / Answer

a) mean = 12.1 ounce, s = 0.1 oune

P(x <= 11.9) = P(z <= (11.9-12.1)/0.1) = -2) = 0.02275 = 2.275%

b) P(x <= 11.9) = 0.02, P(z <= (11.9-mean)/0.1) = 0.02, z = -2.0538, mean = 12.10538

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.