1.) A manufacturing process produces bags of cookies. The distribution of content weights of these bags is supposed to be Normal with mean 15.0 oz and standard deviation 0.5 oz. We randomly selected 6 bags of cookies from the
manufacturer and weighed them, finding a sample mean of 14.63 oz.
Do you have evidence to show that the bags are being under-filled? Carry out a test of significance to test your hypothesis and write up a conclusion on what you find out about the cookies.

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74

5 feet of chain cost $9

so the answer is 1.80