Question

Supposed SAT scores roughly follow a normal distribution in the US population of college-bound students (with a range restricted to 200-800), and the average math SAT score is 525 with a standard deviation of 60. Then, solve for the area under the curve of the following intervals of scores between: i. 370 and 625 ii. 400 and 600 iii. 350 and 650

Name: supposed sat scores roughly follows a normal distribution in the us population of college bound students with range restricted to 200 800 and the average math sat is 525 with a standard devi 39769
Uploaded: 2023-02-26T17:43:49-08:00
Duration: 2 min 25 s
Channel: Sri K
Description: supposed sat scores roughly follows a normal distribution in the us population of college bound students with range restricted to 200 800 and the average math sat is 525 with a standard devi 39769

          Supposed SAT scores roughly follow a normal distribution in the US population of college-bound students (with a range restricted to 200-800), and the average math SAT score is 525 with a standard deviation of 60. Then, solve for the area under the curve of the following intervals of scores between:
i. 370 and 625
ii. 400 and 600
iii. 350 and 650

Added by Jessica H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

02/26/2023

Step 1

i. For the interval 370 and 625: z1 = (370 - 525) / 60 = -2.58 z2 = (625 - 525) / 60 = 1.67 ii. For the interval 400 and 600: z1 = (400 - 525) / 60 = -2.08 z2 = (600 - 525) / 60 = 1.25 iii. For the interval 350 and 650: z1 = (350 - 525) / 60 = -2.92 z2 = (650 - Show more…

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Supposed SAT scores roughly follow a normal distribution in the US population of college-bound students (with a range restricted to 200-800), and the average math SAT score is 525 with a standard deviation of 60. Then, solve for the area under the curve of the following intervals of scores between: i. 370 and 625 ii. 400 and 600 iii. 350 and 650