An ecologist studied the habitat of a marine reef fish, the six bar wrasse (Thalassoma hardwicke), near an island in French) Polynesia that is surrounded by a barrier reef. He exam-led 48 patch reef settlements at each of two distances from the reef crest: 250 meters from the crest and 800 meters from the crest. For each patch reef, he calculated the "settler density," which is the number of settlers (juvenile fish) per unit of settlement habitat. Before collecting the data, he hypothesized that the settler density might decrease as distance from the reef crest increased, since the way that waves break over the reef crest causes resources (i.e., food) to tend to decrease as distance from the reef crest increases. Here are the data"

For 250 meters, the sample mean is 0.818 and the sample SD is 0.514. For 800 meters, the sample mean is 0.628 and the sample SD is 0.413. Do these data provide statistically significant evidence, at the 0.10 level, to support the ecologist's theory? Investigate with an appropriate graph and test.

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250 Meters 800 Mcters 0.318 0.758 0.318 637 0.372 0.524 0.279 0.392 0.955 0.196 0.637 1.404 0.624 1560 0.000 0.108 1318 0.252 909 0.207 1061 0.738 0.612 1179 0.295 0.685 0.590 0.907 0.637 0.442 594 0.000 0.363 0.503 0.181 0.291 0.442 1303 1567 L220 0898 L577 1.303 1.157 0.312 0.866 0.979 0.373 0.187 0.970 0.758 0.588 0.909 0.000 1560 0.624 0.505 0.849 1592 0.909 0490 0.337 1.248 2.411 1019 0.362 0.163 0813 2.010 1.705 0.829 0.329 0.277 0.000 1.213 1019 0.884 0.909 2 0941 0.289 0.399 1.021 0.725 0.531 0.637 0.941 0579 1498 0.265 0.252 0.606 0,283 0.463 0.293 0544 0.808