ADM 2303 Lecture Notes - Lecture 3: Square Root, Preterm Birth, Sampling Distribution
2 Oct 2017
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266 16(1) plus = 282 minus =250. 266 16(2) plus = 298 minus = 234. 266 16(3) plus = 314 minus =218: z = x-u/sd. Answer: =19. 08% of human pregnancies last longer than 280 days: z = (x-u)/sd z-score in table = -1. 475. Answer: x = 242. 4 days would result in a premature birth: u = 266. Answer: = 4: z-score = (x-u)/ {sd/ (square root of n)} Answer = 0. 0122 or 1. 22% chance of a pregnancy lasting longer than 275 days. Question 2 (12 marks: u = 12 sd = sd/(square root of n) Answer = 12 is the approximate distribution of the sample mean. = 12/square root of 100: z= (x-u)/{sd/(square root of n)} Answer =0. 0475 or 4. 75% chance sample mean content will be high: z = 27-26/{5/(square root of 100)} Answer = 0. 0228 or 2. 28% chance sample mean content for brand b will be high: a: z-score 27-25/12 =0. 167.
