Calculate the z score for each set of data. Determine who did better on her resp

Question

Calculate the z score for each set of data. Determine who did better on her respective test, Tonya or Lisa. Student English Test Grade z-Score Student Math Test Grade z-Score John 82 Jim 81 Julie 88 Jordan 85 Samuel 90 Saye 79 Tonya 86 Lisa 82 Mean 86.50 81.75 St. Dev. 3.42 2.50 Given the above information, predict the raw score for a student whose z-score in the Math test is .98. Find the area associated with this section of the curve between z = -1.15 and z = -1.35. Find the area associated with this section of the curve between z = -.35 and z = .35. Find the area associated with this section of the curve between z = 1.05 and z = 1.55. Find the area associated with this section of the curve beyond z = 1.30. Find the area of the curve associated with this section of the curve.

Explanation / Answer

Given the above information, predict the raw score for a student whose z-score in the Math test is .98

P( z >z) = 0.02

z=2.05

Find the area associated with this section of the curve between z = -1.15 and z = -1.35.

P(-1.15<z<-1.35) = 0.1251-0.0774= 0.0477

Find the area associated with this section of the curve between z = -.35 and z = .35.

P( -0.35<z<0.35) = 1 - 0.3632-0.3632 = 0.2736

Find the area associated with this section of the curve between z = 1.05 and z = 1.55.

P( 1.05<z<1.55) = 0.1469-0.0606 = 0.0863

Find the area associated with this section of the curve beyond z = 1.30.

P( z > 1.30) = 0.0968

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