The health of the
bear population in Yellowstone National Park is monitored by
periodic measurements taken from...
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The health of thebear population in Yellowstone National Park is monitored byperiodic measurements taken from anesthetized bears. A sample of 38bears has a mean weight of 189.6 lb.
At α = .05, can it be concluded that the average weight of a bearin Yellowstone National Park is different from 187 lb? Note thatthe standard deviation of the weight of a bear is known to be 8.2lb.
(a)
Find the value ofthe test statistic for the above hypothesis.
(b)
Find the criticalvalue.
(c)
Find thep-value.
(d)
What is thecorrect way to draw a conclusion regarding the above hypothesistest?
(A) If the answer in (b) is greaterthan the answer in (c) then we cannot conclude atthe 5% significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(B) If the answer in (b) is greaterthan the answer in (c) then we conclude at the 5%significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(C) If the answer in (a) is greaterthan the answer in (b) then we conclude at the 5%significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(D) If the answer in (a) is greaterthan the answer in (c) then we conclude at the 5%significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(E) If the answer in (c) is less than0.05 then we cannot conclude at the 5%significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(F) If the answer in (c) is greaterthan 0.05 then we conclude at the 5% significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(G) If the answer in (a) is greaterthan the answer in (b) then we cannot conclude atthe 5% significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.(H) If the answer in (a) is greaterthan the answer in (c) then we cannot conclude atthe 5% significance level that the average weight of a bear in Yellowstone NationalPark is different from 187 lb.
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To Test H0 H1 Test Statistic Part bCritical value isPart c P valuelooking for the t 19546 in t table across 37 degree offreedom we get
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