A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its

Question

A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In addition, it is discovered that the quantity of cheese put on the population of all medium pizzas has a normal distribution with mean 0.495 and standard deviation 0.025. Calculate the minimum number of pounds of mozzarella cheese necessary to say that your medium pizza ranked in the top 3% of all medium pizzas in terms of cheese content. O 0.542 pounds 0 0.508 pounds 0,482 pounds 0.448 pounds QUESTION 3 A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In addition, it is discovered that the quantity of cheese put on the population of all medium pizzas has a normal distribution with mean 0.495 and standard deviation 0.025. Calculate the proportion of pizzas that are covered with between 0.48 pounds and 0.52 pounds of mozzarella cheese. 0.4000 0.5670 0.8413 0.4330 d Submit to sove oned submit Click Save A

Explanation / Answer

we know that the z score is given as

Z = X-Mean/SD ,

for the top 3% means that the p value is 0.97

we check the corresponding z score from the z table as 1.88

now mean = 0.495 sd = 0.025

X = 1.88*0.025+0.495 = 0.542 pounds

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