?1 points MIntroStat9 4 E. 508 XP. My Notes Ask Your Teacher The College Board f

Question

?1 points MIntroStat9 4 E. 508 XP. My Notes Ask Your Teacher The College Board finds that the distribution of students' SAT scores depends on the level of education their parents have Children of parents who did not finish high school have SAT math scores X with mean 459 and standard deviation 107. Scores Y of children of parents with graduate degrees have mean 552 and standard deviation 101. Perhaps we should standardize to a common scale for equity. Find numbers a, b, c, and d such that a bX and c+dY both have mean 500 and standard deviation 100. (Round your answers to two decimal places.)

Explanation / Answer

for a+bE(X)=500

a+459b=500 .........(1)

b*SD(X)=100

107b=100............(2)

solvinb above :

a=71.03

b=0.93

as above

c=-46.53

d=0.99

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