eBe a teplacement Appropriate Analysis of the data Provide all assumptions, test

Question

eBe a teplacement Appropriate Analysis of the data Provide all assumptions, test hypotheses, and the scope of the study for the selected analysis of the following data. In case, there are more than one method to analysis these data feel free to address those as well. 1. (15 points) An animated biologist in need of money is trying to see if he can get frogs to sing. Randomly sampling 20 frogs in a nearby swamp, 20 frogs in a swamp 2 km away, and 20 frogs in a swamp 20 km away, he measures each frogs pitch level. In testing to see if the closest frogs have a different average pitch level than the frogs further away, what test would you use? 2. (15 points) A local irate samurai is known to businesses as an expert in fixing aggravating photocopiers. For future potential customers, he decides to prove his worth by randomly sampling 60 photocopiers and mcasuring their performances, before and after he has fixed them. What test would you use to assist this samurai?

Explanation / Answer

Question 1:

Solution: This is a t-test for linear combination of means

tN-I = t3x20-3

=t57

Question 2:

Solutiion: This is a paired t-test

tn-1 = t60-1

=t59

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