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MATH 220 3A-62 Test: Chapter 5 Test CS This Question: 1 pt Sarah Hunt | 2/5/18 3

ID: 3040789 • Letter: M

Question

MATH 220 3A-62 Test: Chapter 5 Test CS This Question: 1 pt Sarah Hunt | 2/5/18 3:38 AM Time Remaining: 01:33:17 Submit Test This Test: 11 pts possible 50111(8 complete) Use the normal distribution of SAT oritical reading scores for which the mean is 511 and the standard deviation is 122. Assume the variable x is normaly (a) What percent of the SAT verbal scores are less than 675? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? (a) Approximately % of the SAT verbal scores are less than 675 Round to two decimal places as needed.) (b) You would expect that approximately SAT verbal scores would be greater than 550 (Round to the nearest whole number as needed ) of 2 of 2 0 of 1

Explanation / Answer

Mean = 511 = 122

(a) P(x < 675)

= P(z < (675 - 511) / 122)

= P(z < 1.3443)

= 0.9106

= 91%.

(b) P(x > 550)

= P(z > (550 - 511) / 122)

= P(z > 0.3197)

= 0.375

If 1000 scores are selected number of scores greater than 550 would be 1000 * 0.375 = 375.