The Contents of Soft Drink Bottles Are Normally Distributed with a Mean

question 105

Short Answer

The contents of soft drink bottles are normally distributed with a mean of twelve ounces and a standard deviation of one ounce.
a.What is the probability that a randomly selected bottle will contain more than ten ounces of soft drink?
b.What is the probability that a randomly selected bottle will contain between 9.5 and 11 ounces?
c.What percentage of the bottles will contain less than 10.5 ounces of soft drink?

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Definitions:

Two-Tailed Tests

Statistical hypothesis tests that consider the possibility of both positive and negative deviations from the null hypothesis.

Critical Values

Specific points on the scale of a statistical distribution that are compared with test statistics to determine whether to reject the null hypothesis.

Upper

Often pertaining to the higher part or section of something; or can refer to a level or boundary that is more than what is typical or usual.

Population Standard Deviation

A measure of the spread of all values in a population, indicating how much the values differ from the mean of the population.