Question

question 6 i need help with please!

Spring 2020 BIOL/WFS 4220/5220 Biostatistics Spring 2020 QUESTION 5 (10 Points) The following data come from a census of desert birds. (A) Using these data, calculate the following: arithmetic mean; standard deviation; variance, standard error of the mean; and coefficient of variation. (B) Which species of bird has the median species count? (C) Which species of bird have the 25 and 75 percentile counts (or have the counts closest to these percentiles)? NOTE: You do not have to show your work on this question! Count Count 10 23 16 33 23 148 230 625 152 Species Black Vulture Turkey Vulture Harris's Hawk Red-tailed Hawk American Kestrel Gambel's Quail Rock Dove White-winged Dove Mourning Dove Greater Roadrunner Great Horned Owl Lesser Nighthawk Black-chin. Hummingbird Costa's Hummingbird Gila Woodpecker Ladder-back. Woodpecker Gilded Flicker Ash-throated Flycatcher Brown-crest. Flycatcher Western Kingbird Loggerhead Shrike 135 1 173 2 Species Bell's Vireo Common Raven Purple Martin Violet-green Swallow Verdin Cactus Wren Canyon Wren Black-tail. Gnatcatcher Northern Mockingbird Curve-billed Thrasher Phainopepla Lucy's Warbler Canyon Towhee Black-throated Sparrow Northern Cardinal Great-tailed Grackle Bronzed Cowbird Brown-headed Cowbird Hooded Oriole Scott's Oriole House Finch House Sparrow 25 1 300 173 128 59 297 QUESTION 6 (10 Points) Babies being born in singleton births in the United Staes have birth weights that are normally distributed with a population mean of 3.296 kg and a standard deviation of 0.56 kg (Martin et al. 2011). What is the probability of a baby being born that weighs more than 5 kg? QUESTION 7 (10 Points) Suppose you measured the tail lengths of 250 cats, and found that the average length is 28 cm and the variance is 7.5 cm . If these tail lengths are normally distributed, (A) what would the mean and the variance equal if we multiplied each tail length by three? (B) What would the mean and variance equal if we added 10 cm to the length of each tail measurement?

Answer 1

Question 6:

µ = 3.296

x = 5

σ = 0.56

z = (x - µ)/σ

z = (5 - 3.296)/0.56

z = 3.04

P(z > 3.04) = 0.0012

The probability is 0.0012.

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