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.

Answer & Explanation Solved by verified expert
4.0 Ratings (750 Votes)
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    See Answer
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