[Solution] You want to determine which two sports players played best on a particular day. You choose one player from basketball and one from football.


Question: You want to determine which two sports players played best on a particular day. You choose one player from basketball and one from football. So you decide to create a z-score and use the number of points scored in basketball vs. the number of points scored in football.

Mean Your score Std dev
Basketball 68 59 7.22
Football 14 12 4.25

Z1 = \(\frac{X-\mu }{\sigma }=\frac{59-68}{7.22}=-\text{1}.\text{25}\)

z 2 = \(\frac{X-\mu }{\sigma }=\frac{12-14}{4.25}=-0.\text{47}\)

Why did you choose to use a z test (or z value comparison)?

Who played better on that given day?

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