Preview File Edit VieLGo Tools Window Help 0 453' L}! 87969} Thu 1:36 PM Q 9 EE Q Scannable Document on Oct 22, 2020 at 11_43_00 AM.pdf (page 4 of 5) v , r11 ,, W W, ,, ,, 7777, 7 7 ,7 77 ,7, 777 77 777777 777 7 7777777777 l V 77 D777 E '7 QSearch Clear Question 4: (17 points) Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council's GMAT examination. Scores on the GMAT are roughly normally distributed with mean at p and variance at 0'2. A sample of size n (n =112) applicants is randomly selected. It is assumed that under normal production condition, ,u =527 and 02=112. a) What is the distribution of sample mean X ? (You ONLY need to give the name of the distribution and the values of the parameters. NO derivation is needed.) (7 points) b) In order to control the quality of applicants, the scores of applicants are compared with two boundaries, In and b2, which are symmetric about the mean X' . How can we dene the boundaries such that P( X'sbl or X'Z b2 ) = 0.0164? (10 points)