This week we will be focusing our attention on statistics. At this point, you should be able to do WebWork assignments 3 and 4. Hopefully, by reading the slate article last week, you have a better appreciation for why statistics is an important topic to study. Regardless of your major, you will encounter statistics in many forms throughout your life. I hope that what we discuss in this section will help you to make sense of the statistics you see outside of this class.
We will be using the table linked below to calculate areas under a normal curve with z-scores. Please make sure to print a copy for yourself.
z-score table
Challenge Problem: In 2007, when she was a high school senior, Eleanor scored 680 on the mathematics part of the SAT.
The distribution of 2007 SAT math scores was a normal distribution with mean 515 and standard deviation 14.. Gerald took the
ACT math test and scored 27 in 2007. ACT math scores were normally distributed with mean 21 and standard deviation 5.1 in 2007.
Assuming that both tests measure the same kind of ability, who had the higher score? Explain your reasoning and show all work.
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