Assume the machine shifts and the distribution of the amount of the compound added now has a mean of 9.96 milligrams ans a standard deviation of 0.05 milligram. You select one vial and detrmine how much of the compound was added. Acceptable range of amounts of compound added is 9.65 milligrams to 9.95 milligrams. Original distribution of individual vials mean=9.8
a) What is the probability that you select a vial is within the acceptable range ( in other words, you do not detect that the machine has shifted?
b) You randomly select 15 vials. What is the probability that you select one vial that is within the acceptable range?
Assume the machine shifts and is filling the vials with a mean amount of 9.96 milligrams and a standard deviation of 0.05 milligram. You select five vials and find the mean amount of compound added. Acceptable range is 9.65 milligrams to 9.95 miiligrams
a) What is the probability that you select a sample of five vials that has mean that is within the acceptable range? B ). You randomly select three samples of five vials. What is the probability that you select at least one sample of five vials that has a meanthat is within the acceptable range? c). Which is more sensitive to a shift of parameters–an individual random selection or randomly selectedsample mean?
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