A frozen pizza manufacturer needs to make 9 inch pizzas. Their machine that make
ID: 2947324 • Letter: A
Question
A frozen pizza manufacturer needs to make 9 inch pizzas. Their machine that makes the dough is set to make a pizza with a diameter of 9.1 inches, but it is known that the distribution of pizza diameters has roughly a normal distribution with a mean of the setting of 9.1 inches and a standard deviation of 0.06 inches. If people measure their pizza and get less than 9 inches they may complain. Find the percentage of pizzas that are less than 9 inches based on the given information. _____ percent of pizzas that are made below 9 inches. Round the z-score to two decimal places if needed. Round your answer to two decimal places after converting to a percent. Do not include the % sign in your answer.
Explanation / Answer
z score for 9 = (9 - 9.1)/0.06 = -1.67
Hence,
P(X < 9)
= P(z < -1.67)
= 4.75