The volume of soft drink in plastic bottles is a normal random variable with mea
ID: 3225888 • Letter: T
Question
The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and standard deviation 0.6 ounces. a. If a bottle is selected at random find the probability that it contains more than 15.8 ounces of soft drink. b. A random sample of 25 bottles is selected from a large quantity of filled bottles. Give the mean and standard deviation of the sampling distribution. c. Find the probability that the mean volume of soft drink in the 25 sampled bottles is less than 15.8 ounces.Explanation / Answer
b) When sample size = 25
std error becomes = 0.6/rt 25 = 0.12
Sampling distribution of sampling means will be normal with mean=16 and std dev =0.12
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