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[See Solution] The home range of an animal is the average area it occupies while foraging for food and defending its territory. It is thought that home

Question: The home range of an animal is the average area it occupies while foraging for food and defending its territory. It is thought that home ranges of animals usually do not change, except when an area is under environmental stress. As part of a study of white-tailed deer in Florida, the deer were fitted with radio collars and their movements were followed over the course of a year. The home range data are shown below, where the range is expressed in hectares (1 hectare = 2.471 acres). The investigators are interested in determining whether the home ranges of white-tailed deer decreased over the course of a year.

Radio-Collar ID # 1991 Home Range 1992 Home Range Difference of Home Ranges
(1992-1991)
1 80 175 95
2 268 206 −62
3 113 103 −10
4 83 93 10
5 24 9 −15
6 111 115 4
7 100 135 35
8 103 14 −89
9 293 104 −189
10 95 104 9
11 152 319 167
12 133 59 −74
13 293 125 −168
14 32 112 80
15 80 206 126
16 61 115 54
17 271 49 −222
18 111 150 39

Assume the conditions for normality and simple random samples are met. Conduct a hypothesis test on the mean of the differences to determine if the home range for the deer has decreased due to human expansion into their habitat, using a 5% level of significance. Show your work on the answer sheet.

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