An automated filling machine fills soft-drink cans, and the standard deviation is 0.5 fluid ounce. Assume that the fill volumes of the cans are independent, normal random variables.

(a) What is the standard deviation of the average fill volume of 100 cans?

(b) If the mean fi ll volume is 12.1 oz, what is the probability that the average fill volume of the 100 cans is less than 12 oz?

(c) What should the mean fill volume equal so that the probability that the average of 100 cans is less than 12 oz is 0.005?

(d) If the mean fill volume is 12.1 oz, what should the standard deviation of fill volume equal so that the probability that the average of 100 cans is less than 12 oz is 0.005?

(e) Determine the number of cans that need to be measured such that the probability that the average fill volume is less than 12 oz is 0.01.

Chemistry 1: Chapter 1 Notes A highlight & bold= Definition *= conversion factor or unit/formula Bold= Examples & things you should know The Study of Chemistry Chemistry-The study of matter and the changes that matter undergoes. Matter- anything that has a mass and occupies space. The Scientific Method Step 1: Gather data from observations and experiments. An observation is something that you can see it can be a natural phenomenon and measured events. Example: The milk is lumpy so it has spoiled. (Natural phenomenon) There are 5 dogs with 4 legs because of a mutation (measured events).