SOLUTION: The amount of a popular drink in bottles has the normal distribution with the mean ๐œ‡ = 101.5 milliliters (mL) and the standard deviation ๐œŽ = 1.6 milliliters (mL). If n = 36

Algebra ->  Probability-and-statistics -> SOLUTION: The amount of a popular drink in bottles has the normal distribution with the mean ๐œ‡ = 101.5 milliliters (mL) and the standard deviation ๐œŽ = 1.6 milliliters (mL). If n = 36       Log On


   

Question 1198374: The amount of a popular drink in bottles has the normal distribution with the
mean ๐œ‡ = 101.5 milliliters (mL) and the standard deviation ๐œŽ = 1.6 milliliters (mL). If n = 36 bottles are randomly selected, find the probability that the average content in these selected bottles is smaller than 102.1 milliliters (mL).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Normal Distribution: ยต = 101.5 and ฯƒ = 1.6 โ‰ค
Sample: n = 36, โˆš36=6
Using Handheld TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(mean < 102.1) = normcdf(-9999, 102.1, 101.5, 1.6/6 ) = .5