Question: 2. The Wehsler IQ test is normally distributed and has a known = 100 and a = 15. A sample of = 25 is drawn

2. The Wehsler IQ test is normally distributed and has a known = 100 and a = 15. A sample of = 25 is drawn at random
	b. What middle range of sample IQs will be expected to occur 95% of the time?

Someone already answered and his answer is atttached here, Im just wondering where did the 1.96 came from and how to locate it.

2. The Wehsler IQ test is normally distributed and has a known

From given information, XNN( = 100, 5 = 15) WKT X -y = Z ~ N10, JJ Therefore for middle 9501, data , We have P ( - 1 . 96 L Z ( 1 . 9 6 ) = 0.95 x - M = 1. 96 =) X - 100 = 1.96 - X= 129.4 15 X - M - - 1. 96 =) X-100 =1.96 X = 70-6 15 =) 95 % data of x li0 within ( 910.6, 129 .4 )

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