Question

Score: 0 of 1 pt 22 of 22 (18 complete) HW Score: 71.29% , 15.68 of 22 pts 10.5.22 Suppose you wish to determine if the mean IQ of students on a certain campus is different from the mean IQ in the general population, 100. To conduct this study, you obtain a simple random sample of 60 students on this campus, administer an IQ test, and record the results. The mean IQ of the sample of 60 students is found to be 107.7 with a standard deviation of 11.8. Complete parts (a) through (c) below Question Help Click the lcon to view the 1-distribution table. (a) Construct a hypothesis test Ho pPo versus Hy: ppo for po 103, 104, 105, 106, 107, 108, 109, 110, 111, and 112 at a 0.05 level of significance. Determine the test statistics for -103, 104, 105, 106, and 107. Po 103 6-3.09 Ro 104 2י Ro 105 177 Ro 106 o1.12 Po 107 (Round to twD decimal places as needed.) -04 Determine the test statistics for n 108, 109, 110, 111, and 112 Ho 108 MO 10 o PO 110 Ro 111 Ho 112 (Round to two decimal places as needed) 9 99

Answer 1

solution! a) Mo=103 Given data as 101.7, S=11.8 M360 to 2-4 Mo=102 = 3.7416 to = 107,7-103 - 11.8 J60 Hoc 103, 1 to -3.0850 1) Mo= 104 4 => to = => to = 107.7 -104 11.8 566 Ho= 104, to=2.428 #1) Mo=cos - to = 101.7-105 118 1177. JGO IV) Vor 106 -> to 1071-106 = 112 11.8 JGO in Hoc107 -> * to = 101.7-107 Il = 0.46 Јво -0.196 - 104.7 - 108 NUMO = 108 ) to ----- 11.8 VO Itos-0.196

vii) Mon 109 > to40707-109 -0.85 33 11.8. Joo 1 to: -0.85331 viii) Mori Po -) to 10717- - = -1.509 11.8 Joo Ito = -1.5098) &x) M=111 =) to = 1 107.7-ll) --=-201662 11.8 . I to=-2.1662 Il I la 112 ) to = 107.7-112 168 = -2.8226 ogp Ito = -2.8826 )