Recent data suggest that nationally, scores on the Critical Reading section of the SAT follow a normal distribution with mean 480 and standard deviation 100. The scores on the English part of the ACT are also normally distributed with mean 18 and standard deviation 6. a) In a typical year, what percent of students score above 550 points on the SAT Critical Reading section? b) Suppose that a liberal arts college in Illinois imposes a strict cutoff of 550 points on the SAT Critical Reading (applicants with scores of 540, for instance, are automatically ineligible for admission). What minimum score should this college set on the ACT English to be compatible with its SAT Critical Reading standard?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Recent data suggest that nationally, scores on the Critical Reading section of the SAT
follow a normal distribution with mean 480 and standard deviation 100. The scores on
the English part of the ACT are also normally distributed with mean 18 and standard
deviation 6.
a) In a typical year, what percent of students score above 550 points on the SAT
Critical Reading section?
b) Suppose that a liberal arts college in Illinois imposes a strict cutoff of 550 points
on the SAT Critical Reading (applicants with scores of 540, for instance, are
automatically ineligible for admission). What minimum score should this college
set on the ACT English to be compatible with its SAT Critical Reading standard?
Page 1 of 2
660 words
LX English (United States)
E Focus
227%
三
Normal Prob Distribn
ECON 100 HW4
Transcribed Image Text:Word File Edit View Insert Format Tools Table Window Help W HW4-2 AutoSave OFF ... Home Insert Draw Design Layout References Mailings Review View O Tell me E Share Comments Book Antiqua v 12 A A AaBbCcDdE AaBbCcDdE hro 三|= 三三三 <SOLNL> <SOLNLLL> Styles Dictate Editor A X x 4e Paste Pane B. Recent data suggest that nationally, scores on the Critical Reading section of the SAT follow a normal distribution with mean 480 and standard deviation 100. The scores on the English part of the ACT are also normally distributed with mean 18 and standard deviation 6. a) In a typical year, what percent of students score above 550 points on the SAT Critical Reading section? b) Suppose that a liberal arts college in Illinois imposes a strict cutoff of 550 points on the SAT Critical Reading (applicants with scores of 540, for instance, are automatically ineligible for admission). What minimum score should this college set on the ACT English to be compatible with its SAT Critical Reading standard? Page 1 of 2 660 words LX English (United States) E Focus 227% 三 Normal Prob Distribn ECON 100 HW4
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