By law, a box of cereal labeled as containing 36 ounces must ...

[fahad]

By law, a box of cereal labeled as containing 36 ounces must contain at least 36 ounces of cereal. The machine filling the boxes produces a distribution of fill weights that is mound-shaped and symmetric, with a mean equal to the setting on the machine and with a standard deviation equal to 0.02 ounce. To ensure that most of the boxes contain at least 36 ounces, the machine is set so that the mean fill per box is 36.06 ounces. What percentage of the boxes do, in fact, contain at least 36 ounces?
 
  What will be an ideal response?

Question 2

Suppose the probability of an athlete taking a certain illegal steroid is 10. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid?
 
  A) 0.9325 B) 0.9552 C) 0.9928 D) 0.0995

[ebenov]

Answer to Question 1

The value of 36 ounces falls three standard deviations below the mean. The Empirical Rule states that approximately all of the boxes will contain cereal amounts between and Therefore, approximately 100 of the boxes contain at least 36 ounces.

Answer to Question 2

A

[fahad]

Excellent

[robbielu01]

TYSM