Question

15. What is the probability that a random sample (n) of 36 college student applicants out of the 900 applicants (N) will provide a sample mean (ž) SAT score that is within plus or minus 15 points of the actual population mean (u) of 1697, given a population standard deviation (o) of 102? In other words, what is P(1682 <x< 1712)? (Round all numbers to the 2nd decimal place). 16. What is the probability that a random sample (n) of 225 college student applicants out of the 900 applicants (N) will provide a sample mean (T) SAT score of 1682 or lower, given the actual population mean (u) is 1697 and the population standard deviation (6) is 102? In other words, what is Pçã< 1682)? (Round all numbers to the 2nd decimal place).

Answer 1

1. 
   din is. t n N ( M, 02) 2 = 2-4 102136 PL 1682 sas1712) =PL 1682-4 CX-4 = 1712-4 I in olin olun = P/ 1692-1697 s z s 1712-1697 1 102 1136 P( 15373 s pl-0.88235 < Z $ 0.88235 ) = (0.88 23s) – (-0.88235) =1-25 (-0.88235) L-2X 0.18879 = 0.62242 Scarpei68212* 4 1712 ) = 0.62242 CamScanner
   
   16 Xu N( 1697, (102) ². 2 = x - L 225 ) Un 1 Pl T < 1682) - a PC -4 2 1682-1 in Elin p 7 1682- 1697 24 = 1022.1225 ) PLZ -15 102/15 PlZ 3-2420588) = 0 (-2:20588) = 0:013696 Plā ? 1682) Scanned with CamScanner = 01013696 speed An