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In a population of Siberian flying squirrels in western Finland, assume that the the number of pups born to each female over her lifetime has rnean ,: 3.66 and standard deviation ơ-: 2.9598. The distribution of squirrel pups born is non-normal because it takes only whole, non-negative values Determine the mean number of pups, X, such that in 70% of all random samples of such squirrels of size n-40, the mean number of pups born to females in the sample is less than x. You may need to use software or a table of z-critical values. You may find some software manuals useful x-

math   Statistics-And-Probability   
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Population mean, μ 3.66 Population standard deviation, σ-2.9598 Sample size, n=40 Find the value of T such that P(X<x)-0.70 Consider, P(X0.70 -μ x-3.66 σ/ n 2.9598/ 40 = 0.70 PZ -3.66 -0.70 2.9598/V40 But from the z-table P(Z <0.52) 0.70 ...II) From (D) & (IID -3.66 2.9598/ 40 -3.66 0.52 = 0.52 2.9598 40 2.9598 x=3.66 +0.52 3.90335

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