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Assume that volumes of bottles of root beer are normally distributed with a mean of 20 fluid ounces and a standard deviation of 0.3 fluid ounces. a.   Find the probability that a bottle of root beer has more than 21 fluid ounces.  Do not round your answer. b.  Find the probability that a group of 16 bottles of root beer has a mean volume that is less than 19.8 fluid ounces.  Do not round your answer. c.  In part b, we can assume that the mean volumes have a normal distribution even though our sample size was less than 30.  According to the Central Limit Theorem, why can we make this assumption? d.  The root beer company plans to discount the price of root beer bottles with the lowest 2% of volumes.  Find the volume of a bottle of root beer that separates the lowest 2% from the rest.  Do not round your answer.

All final answers MUST be typed into the final exam, though supporting work for the answers do not need to be typed in.  You need to upload your work to the drop box associated with this study guide within 30 minutes after finishing the exam. As explained in the study guide, you will need the normal distribution tables printed out for this exam. You may not use a cell phone or access the internet during this exam.

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