The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified aspossessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.2 ounce. What chipamount represents the 67th percentile for the bag weight distribution? Round to the nearest hundredth.
A) 16.59 oz
B) 16.09 oz
C) 16.63 oz
D) 16.13 oz

Question

Quizplus · Accepted Answer

The 67th percentile is the value below which 67% of the data falls. Using a standard normal distribution table, the z-score corresponding to the 67th percentile is 0.44. The chip amount representing the 67th percentile can be calculated as:Chip amount = Mean + (z-score * Standard deviation)Chip amount = 16.5 + (0.44 * 0.2)Chip amount = 16.59 ounces (rounded to the nearest hundredth)

The Amount of Corn Chips Dispensed into a 16-Ounce Bag