The formula for Z-Score is: (x-mu)/sigma. We know from the information given that Z=0.5, mu=300 & sigma=100. Solve for x and plug in the values. X=Z*sigma+mu; x=0.5*100+300 or x=350. So, $350 is amount spent on books.
0.8664
Z = (x-mu)/sigma or 3 = (x - 25)/6 or 18 = x - 25 or x = 42. So, for Z = 3, x = 42.
It's just rock and roll...
Z Score is (x-mu)/sigma. The Z-Score allows you to go to a standard normal distribution chart and to determine probabilities or numerical values.
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