Question

4. A wildlife conservationist specializing in wolf conservation read an article from 2008 that claimed that the number of wolves born in a litter is normally distributed with a mean of 4.8 puppies and a standard deviation of 1.2 puppies. a. From the information above, what proportion of wolf litters will have more than 6 puppies? Round answer to 3 significant digits. b. A wildlife conservationist is concerned that the number of wolf pups per litter has decreased over the last decade. She gathers data from the 9 recent wolf litters and found that they had an average litter size of 4.1 puppies. What's the probability that 9 litters would have a mean litter size of 4.1 pups or less? Round answer to 3 significant digits.

Answer 1

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1.2 6-4.8 lo 2 we have so on X. 4. (a) let x be the number of woles born in a litter Criven that, xn N(4.8, 1.22) = X-4.8 ~ N(0) P(x > 6) = P(x = 6) = 1- P(X-4.8 21- BC 6-4.8), F (e) = P& Neo, 1) { x) 21-112 = 0.159. Approx.) , using normal table Ans: Required proportion proportion is 0.159. (6) here sample of size n=9 the sample be x,. .,xa . X, X2, ...) Xq Xoid N (4.86 " X = se sample mean a ~ N(4.8, 12) 6) 2 N/4.8, 0.16) -4.8 Nco, i). 1. PCP < 401) = Pl Torneo se s hribonland) = (-1.75) - 1-20 1.75 as & (n)=(- (-2) 0.040 Ans: 0.040. , using let 4 1 normal table 1