Question

A biologist speculates that peregrine falcons that roost in downtown skyscrapers are better feed than those that live in more natural habitats. They captured and weighed 10 falcons from a national park and compared the average weight of 15 falcons from Chicago. They formulated the following null and alternative hypothesis for a t-test.

H0: There is no difference in the mean weight of rural and urban peregrine falcons.

H1: Urban peregrine falcons on average weigh more than rural peregrine falcons.They recorded the necessary sample statistics for this t-test in the following table

Urban Falcon:

2.25, 2.9, 2.75, 2.8, 2.2, 2.3, 2.45, 2.8, 2.15, 2.3

Park Falcon:

1.5, 1.45, 1.89, 2.9, 2.25, 2.3, 2.15, 2

Using the data above conduct an appropriate one-sided t-test at α= 0.025. Record your calculator output below (round your answers to three decimal places-as always I review your answers)

(a) t-statistic:

(b) p-value:

(c) df:

Answer 1

(a) t-statistic: 2.427

(b) p-value: 0.014

(c) df: 16

Conclusion: The p-value of t test is less than 0.025. Hence we reject null hypothesis and conclude that urban peregrine falcons on average weigh more than rural peregrine falcon.