The American black bear (Ursus americanus) is one of eight bear species in the world. It is the smallest North American bear and the most common bear species on the planet. In 1969, Dr. Michael R. Pelton of the University of Tennessee initiated a long-term study of the population in the Great Smoky Mountains National Park. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be related to weight is the length of the bear. The following data represent the lengths and weights of 12 American black bears.

(a) Test whether a linear relation exists between total length and weight at the

= 0.05 level of significance.

Quiz 10 Started: Dec 4 at 1:06pm Quiz Instructions Question 1 15 pts The American black bear (Ursus americanus) is one of eight bear species in the world. It is the smallest North American bear and the most common bear species on the planet. in 1969, Dr. Michael R. Pelton of the University of Tennessee initiated a long-term study of the population in the Great Smoky Mountains National Park. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be related to weight is the length of the bear. The following data represent the lengths and weights of 12 American black bears. American Black Bears Total Length (cm) \"eight (kg) LN\" [ill 15\" . Bx,\" m '5 [Run w i\" 125 131.5 7 \"an E 100 Mon 7 7 7x5 7 .35 Hill inn g 7; Hill V5 Him M 50 lhh.\" 155 121) 130 140 15\" 160 17\" H15 140 Length (cm) 1205 ms ISO.\" [10 (a) Test whether a linear relation exists between total length and weight at the a: 0.05 level of significance. Step 1: Parameter of interest: H0231 versus H1: ,81 7E 0 Step 2: Test statistic: ( Use ()1 = 1.6942 l' = 2.228. 2(3\" .T'): =1488.5625. ands; = 20.8577 .) {1' 51,1 2 (Round to four decimal places) to: (Round your test statistic to four decimal places) Step 3: Classical approach a = ,tg = (Rounded to three decimal 2 places) Does the test statistic lie in the rejection region? (yes, no) Step 3: p-value approach p-value= (Rounded to four decimal places) What is the relationship between p-value and oz? pvalue a. (>,