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You are in the process of planning a study to examine the effects of predator pr

You are in the process of planning a study to examine the effects of predator pr

You are in the process of planning a study to examine the effects of predator presence on breathing rate in the pygmy shrew (Sorex hoyi). Normal breathing rate in these mammals averages 800 breaths/min, and you would like to be able to detect a significant change of ±100 breaths/min when predators are present. From previous work, you know that the standard deviation in breathing rate is 74. You will accept a Type I error rate of 0.05 (as usual) and a Type II error rate of 0.20. (A) Given these values, what would your sample size need to be for each group if performing a t-test comparing shrew breathing rate in the presence of predators to breathing rate in the absence of predators? (B) What would your sample size need to be if you wanted to detect a significant change in breathing rate of ±30 breaths/min in the presence of predators, again using a t-test?

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