For the following identify and justify the approach you would use. Be sure to include the appropriate null and alternate hypothesis for the test. Consider all tests evaluated this term. You do not have to do the computation and provide an answer but you do have to provide the exact test and a justification. a. The number of chirps per minute emitted by crickets was measured at several temperatures. The mean number of chirps from three crickets is provided below. Is the number of chirps related to temperature? How would you describe that relationship mathematically? Identify the independent and dependent variables and the approach you would use with regards to statistical analysis. Temp (◦C) 20 22 24 25 27 29 30 Chirps (chirps/min) 112 118 140 155 160 179 199

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For the following identify and justify the approach you would use. Be sure to include the appropriate null and alternate hypothesis for the test. Consider all tests evaluated this term. You do not have to do the computation and provide an answer but you do have to provide the exact test and a justification.

a. The number of chirps per minute emitted by crickets was measured at several temperatures. The mean number of chirps from three crickets is provided below. Is the number of chirps related to temperature? How would you describe that relationship mathematically? Identify the independent and dependent variables and the approach you would use with regards to statistical analysis.

Temp (◦C) 20 22 24 25 27 29 30

Chirps (chirps/min) 112 118 140 155 160 179 199

b. A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. In a test, you counted 1600 cards, and observed the following:

Spades 404

Hearts 420

Diamonds 400

Clubs 376

Could it be that the suits are equally likely? Or are these discrepancies too much to be random?

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