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eC Secure https://www.mathxl.com/Student/PlayerTest.aspx?testid-187972923&centerwin yes Math 122: Elementary Statistics; Fall 2018; Section 142995 Test: Exam 1 Part A This Question: 2 pts MOHAMED ELHUBISHI& 9/15/1 Time Remaining: 01:22:36 2 of 13 (1 complete) This Test: 30 The blood platelet counts of a g up of wo men have a be shaped distribution with a mean or 250.2 and a standard de ation of 67.5 Al its a u 1000 coll using the en mate pe centage bel in al le find each app o . a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 115.2 and 385.2? b. What is the approximate percentage of women with platelet counts between 182.7 and 317.7? a. Appro mately % of women in this group have platelet oounts within 2 standard dev ations of the mean, or between 1 152 and 385 2 Type an integer or a decimal. Do not round.) b. Approximately L % of women in this group have platelet counts between 1827 and 3177. Type an integer or a decimal. Do not round.) Enter your answer in each of the answer boxes.

Explanation / Answer

Solution:- Given that mean = 250.2, standard deviation = 67.5

a. Approximately 95% of women in this group have platelet counts with 2 standard deviation of the mean,or between 115.2 and 385.2

b. P(182.7 < x < 317.7) = P((182.7-250.2)/67.5 < Z < (317.7-250.2)/67.5 )
= P(-1 < Z < 1)

=> Approximately 68% of women in this group have platelet counts between 182.7 and 317.7.

Note : 68% of data within 1 standard deviation

95% of data within 2 standard deviation

99.7% of data within 3 standard deviation

z = (x-)/

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