Problem 10.4. We continue with the situation in Problem 8.8. Assume 12 and the two sample that the two sample sizes are nį variances are s? = 0.81 and s = 0.49. Is there enough evidence that fam- ilies from culled populations have a lower bunching intensity than families from non-culled populations? Use a test of hypothesis at level a = Suppose that the two populations are normally distributed with equal vari- 19 and n2 0.005. ances.

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Problem 10.4. We continue with the situation in Problem 8.8. Assume
that the two sample sizes are nį = 19 and n2 = 12 and the two sample
variances are s = 0.81 and s = 0.49. Is there enough evidence that fam-
ilies from culled populations have a lower bunching intensity than families
from non-culled populations? Use a test of hypothesis at level a = 0.005.
Suppose that the two populations are normally distributed with equal vari-
%3D
ances.
Transcribed Image Text:Problem 10.4. We continue with the situation in Problem 8.8. Assume that the two sample sizes are nį = 19 and n2 = 12 and the two sample variances are s = 0.81 and s = 0.49. Is there enough evidence that fam- ilies from culled populations have a lower bunching intensity than families from non-culled populations? Use a test of hypothesis at level a = 0.005. Suppose that the two populations are normally distributed with equal vari- %3D ances.
Problem 8.8. Between 1967 and 1995, South Africa controlled its elephant
populations through “culling", i.e. killing older animals. Scientists believe
that in some populations, the surviving young elephants who experienced
culling have symptoms similar to the post-traumatic stress disorder in hu-
mans. The authors of article [60] investigated the effects of culling, using
a variable called "bunching intensity", which gives the response to threat
for a family of adult female elephants. This variable has values between 0
and 4, with 0 =
"no response" and 4 = "very fast response". We consider
two populations of elephants, one of which had experienced culling and the
other had not. A sample of n1 families from the culled population has a
mean bunching intensity of 1.2, whereas a sample of n2 families from the
non-culled population has a mean bunching intensity of 2.5. The mean
bunching intensity for the combined two samples is 1.7. What is the pro-
portion of families who experienced culling in the combined two samples?
Transcribed Image Text:Problem 8.8. Between 1967 and 1995, South Africa controlled its elephant populations through “culling", i.e. killing older animals. Scientists believe that in some populations, the surviving young elephants who experienced culling have symptoms similar to the post-traumatic stress disorder in hu- mans. The authors of article [60] investigated the effects of culling, using a variable called "bunching intensity", which gives the response to threat for a family of adult female elephants. This variable has values between 0 and 4, with 0 = "no response" and 4 = "very fast response". We consider two populations of elephants, one of which had experienced culling and the other had not. A sample of n1 families from the culled population has a mean bunching intensity of 1.2, whereas a sample of n2 families from the non-culled population has a mean bunching intensity of 2.5. The mean bunching intensity for the combined two samples is 1.7. What is the pro- portion of families who experienced culling in the combined two samples?
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