Question

Consider an x distribution with standard deviation 0 - 36. (a) Ir specifications for a research project require the standard error of the corresponding x distribution to be 4, how large does the sample size need to be? (b) If specifications for a research project require the standard error of the corresponding distribution to be 1, how large does the sample size need to be? Need Help? Submit Answer Practice Another Version -19 points BBUNDERSTAT12 6.5.011. My Notes | Ask Your Teacher Suppose xhas a distribution with 15 and 3 (a) If a random sample of size 46 is drawn, find and P15 SXS 17). (Round og to two decimal places and the probability to four decimal places.) PC15 SX S17) - (b) If a random sample of sirens is drawn, find and PC15 SXS 17). (Round a to two decimal places and the probability to four decimal places.) PX15 SXS 17) - (c) Why should you expect the probability of part (b) to be higher than that of part(a)? (Hint: Consider the standard deviations in parts (a) and (b)) The standard deviation of part() is Select part (a) because of the sample sue. Therefore, the distribution aboutis e Need Help?

Answer 1

Giver, M=15 a n=46 I x = M = is 9 = 1.1795356 = 1.18 P(15 EXS 17) - Pl 15-18 PE s 7-17 & 17 - Plocz & 1.695) - P(Z < 1.695)- P(Z <o) - 0.954962 - 0.5 l from Sländard Normal table - x 0.454962 0.455 X

b) na 58 = 15 My = E F - 1.05045189 - LOS OMS189 z 1.05 Plotsisa) : (* ) a plosza 1.90476) = P(Z 41.90480) P(ZLO) - 0.971597- a.s (from Sländard Normal table] - O. 4715 97 € 0.4716 The standard deviation of part is smaller than part @ because of the larger about Mi is narrower. Sample size. Therefore the distribution