A tuatara is a reptile that is endemic to New Zealand and the sole surviving species of its order that otherwise disappeared 100 million years ago. Since they have evolved in isolation, tuatara are of interest in the study of adaptation. One study investigated two separated populations of tuataras, one at Location A and one at Location B, and looked for any differences between these populations. a) Suppose μA is the mean mass of tuataras at location A and μB is the mean mass of tuataras at location B. The researchers

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A tuatara is a reptile that is endemic to New Zealand and the sole surviving species of its order that otherwise disappeared 100 million years ago.

Since they have evolved in isolation, tuatara are of interest in the study of adaptation. One study investigated two separated populations of tuataras, one at Location A and one at Location B, and looked for any differences between these populations.

a)

Suppose μA is the mean mass of tuataras at location A and μB is the mean mass of tuataras at location B. The researchers would like to test

H0:μA=μB vs H1:μA≠μB

H0:μA=μB vs H1:μA<μB

H0:μA=μB vs H1:μA>μB

H0:μA<μB vs H1:μA=μB

b)

The 9 tuataras measured at location A had a mean mass of 617.7 g with a standard deviation of 38.67 g, while the 14 tuataras measured at location B had a mean mass of 585.8 g with a standard deviation of 23.39 g. The difference in mean mass between locations A and B is

31.9 g

36.2 g

55.6 g

59.5 g

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