The volume of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.54 ounces and a standard deviation of 0.36 ounce. The company receives complaints from consumers who actually measure the amount of soda in the cans and claim that the volume is less than the advertised 12 ounces. What proportion of the soda cans contain less than the advertised 12 ounces of soda?
A) .0668
B) .5668
C) .9332
D) .4332

Question

Quizplus · Accepted Answer

To find the proportion of cans containing less than 12 ounces, we calculate the z-score: z = (12 - 12.54) / 0.36 = -1.5. Using the standard normal distribution table, the probability of z being less than -1.5 is approximately 0.0668.

The Volume of Soda a Dispensing Machine Pours into a 12-Ounce