Many species of cuckoos are brood parasites. They lay their eggs in the nests of
ID: 3431304 • Letter: M
Question
Many species of cuckoos are brood parasites. They lay their eggs in the nests of other species. The following data are for the lengths (mm) of cuckoo eggs in a random sample of nests from two different host species.
wren: 19.8, 22.1, 21.5, 20.9, 22, 21, 22.3, 21, 20.3, 20.9, 22, 20, 20.8, 21.2, 21
house sparrow: 22, 23.9, 20.9, 23.8, 25, 24, 21.7, 23.8, 22.8, 23.1, 23.1, 23.5, 23, 23
Question 7 (1 point)
Calculate a 95% confidence interval for the mean length of cuckoo eggs for each of the host species.
Question 7 options:
wren (20.3, 22.0), house sparrow (22.0, 23.9)
wren (20.7, 21.5), house sparrow (22.6, 23.7)
wren (19.6, 22.6), house sparrow (21.0, 25.2)
wren (20.9, 21.3), house sparrow (22.8, 23.4)
Question 8 (1 point)
Which of the following claims is supported by the data?
Question 8 options:
On average eggs in wren nests are more variable in size than eggs in house sparrow nests
On average eggs in wren nests are smaller than eggs in house sparrow nests
Although slightly different in the sample, the average size of eggs in wren nests is plausibly about the same as eggs in house sparrow nests
On average eggs in wren nests and house sparrow nests are about the same size
wren (20.3, 22.0), house sparrow (22.0, 23.9)
wren (20.7, 21.5), house sparrow (22.6, 23.7)
wren (19.6, 22.6), house sparrow (21.0, 25.2)
wren (20.9, 21.3), house sparrow (22.8, 23.4)
Many species of cuckoos are brood parasites. They lay their eggs in the nests of other species. The following data are for the lengths (mm) of cuckoo eggs in a random sample of nests from two different host species. wren: 19.8, 22.1, 21.5, 20.9, 22, 21, 22.3, 21, 20.3, 20.9, 22, 20, 20.8, 21.2, 21 house sparrow: 22, 23.9, 20.9, 23.8, 25, 24, 21.7, 23.8, 22.8, 23.1, 23.1, 23.5, 23, 23 Question 7 (1 point) Question 8 Unsaved Which of the following claims is supported by the data? Question 8 options: On average eggs in wren nests are more variable in size than eggs in house sparrow nests On average eggs in wren nests are smaller than eggs in house sparrow nests Although slightly different in the sample, the average size of eggs in wren nests is plausibly about the same as eggs in house sparrow nests On average eggs in wren nests and house sparrow nests are about the same size Question 7 Unsaved Calculate a 95% confidence interval for the mean length of cuckoo eggs for each of the host species. Question 7 options: wren (20.3, 22.0), house sparrow (22.0, 23.9) wren (20.7, 21.5), house sparrow (22.6, 23.7) wren (19.6, 22.6), house sparrow (21.0, 25.2) wren (20.9, 21.3), house sparrow (22.8, 23.4) Question 8 (1 point)Explanation / Answer
(7) wren: n1=15, xbar1=21.12, s1=0.7542262
The degree of freedom =n-1=15-1=14
Given a=0.05, t(0.025, df=14) =2.14 (from standard normal table)
So the lower bound is
xbar - t*s/vn =21.12 - 2.14*0.7542262/sqrt(15) =20.70326
So the upper bound is
xbar + t*s/vn =21.12 + 2.14*0.7542262/sqrt(15) =21.53674
house sparrow: n2=14, xbar2=23.11429, s2=1.049437
The degree of freedom =n-1=14-1=13
t(0.025, df=13) =2.16 (from student t table)
So the lower bound is
xbar - t*s/vn =23.11429 - 2.16*1.049437/sqrt(14) =22.50847
So the upper bound is
xbar + t*s/vn =23.11429 + 2.16*1.049437/sqrt(14) =23.72011
Answer: wren (20.7, 21.5), house sparrow (22.6, 23.7)
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(8)On average eggs in wren nests are smaller than eggs in house sparrow nests
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