Problem

Crop weights of pigeons. In Exercise 5.95 (p. 293), you analyzed data from a study of the...

Crop weights of pigeons. In Exercise 5.95 (p. 293), you analyzed data from a study of the diets of spinifex pigeons. The data, extracted from the Australian Journal of Zoology, are reproduced in the accompanying table. Each measurement in the data set represents the weight (in grams) of the contents of the crop of a spinifex pigeon. Conduct a test at α = .05 to determine whether the mean weight of the crops of all spinifex pigeons differs from 1 gram. Test the validity of any assumptions you make.

PIGEONS

.457

.335

3.751

1.436

.238

1.603

2.967

1.309

2.509

.201

1.384

.530

1.454

2.144

.818

.834

Exercise 5.95

The Australian Journal of Zoology (Vol. 43,1995) reported on a study of the diets and water requirements of spinifex pigeons. Sixteen pigeons were captured in the desert and the crop (i.e., stomach) contents of each examined. The accompanying table reports the weight (in grams) of dry seed in the crop of each pigeon. Find a 99% confidence interval for the average weight of dry seeds in the crops of spinifex pigeons inhabiting the Western Australian desert. Interpret the result.

PIGEONS

.457

3.751

.238

2.967

2.509

1.384

1.454

.818

.335

1.436

1.603

1.309

.201

.530

2.144

.834

Source: Excerpted from Williams, J. B., Bradshaw, D., and Schmidt, L. “Field metabolism and water requirements of spinifex pigeons (Geophctps plumifera) in Western Australia,” Australian Journal of Zoology, Vol. 43, No. 1,1995, p. 7 (Table 2).

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