A perfume bottle is designed to have a capacity of 15 ounces. There is variation in the bottle manufacturing process. Based on historical data, it is believed that the bottle capacity can be reasonably modeled by a normal distribution with a mean of 15 ounces and a standard deviation of 0.2 ounces. What proportion of these bottles will have a capacity between 14.7 and 15.1 ounces? The proportion you are seeking can be expressed as P( < x < ) The above would be expressed, in terms of Z-values as P( < Z < ) The proportion of bottles that will be between 14.7 and 15.1 ounces (expressed to four decimal places, e. g., .2561) is: