Math 130 Test 4 1. The reading speed of second grade students is approximately normal with a mean of 84 words per minute and a standard deviation of 11 words per minute. M = Q4 5 = 11 a) What is the probability that a randomly selected student will read more than 97 words per minute? P ( X > 9 7 ) = 1 - P ( x2 97 ) = 1 - P ( X - M c 9 7 - 84 ) = 1 - P ( 18 ) = 1 - P ( 1.18) = 1-8810 = - 119 ( P ( X 7 97 ) = 0. 119) b) What is the probability that a random sample of 17 second grade students result in a mean reading rate of more than 92 words perminute? Sample n = 17, M=Q4 0 =11 0.0013 Jn = JJ = (5 = 2. 4670 = 0x = 2.67) 84 P ( x > 92 ) = 1- P( x = a2) = 1-P/kam, 42 1 492-84 = 1- P/ 2:8 (1-. 9907 = 0:0013 P (x7927= 0.0013) 7-67 2-67 c) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value