Normal Dist. Q: The amount of soft drink in plastic bottles

Angel626

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The amount 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 the bottle has more than 15.8 ounces of soft drink.

b. A random sample of 25 bottles is selected from a large production of filled bottles. Write down the sampling distribution of sample mean. Mention the shape, mean and standard deviation of the distribution.

c. Find the probability that the mean amount of soft drink in the 25 sampled bottles is less than 15.8 ounces.
 
Too many problems with no work shown or suggested.

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