###### ASSIGNMENT 06 ######## ## NAME ###### ##### PART 1 ################## ##The population of students at a university is known to follow the following proportions: ## 0.4 American Undergraduate,...

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###### ASSIGNMENT 06 ######## ## NAME ###### ##### PART 1 ################## ##The population of students at a university is known to follow the following proportions: ## 0.4 American Undergraduate, 0.25 American Graduate, 0.25 Foreign Undergraduate, and 0.10 Foreign Graduate. ## a) Given these known proportions, generate 4 samples of 50 students each ## and calculate the resulting proportion of students in each category across all samples. ## b) Once you have done so, generate a single additional sample of 200 students. ## How does this single sample compare to your results from the 4 samples? ###### PART 2 ######### ## In the field, we obtained 14 samples of stress hormone measurements in chimpanzees. ## The means of the samples are 361.35 with s = 15.3. ## It has been shown that baseline stress levels in chimpanzees are 350. ## Those who exhibit stress levels that are higher or lower than this number often exhibit impaired cortisol production (hyper- or hypocortisolism). ## a) Are the values observed in our sample significantly different from 350? ## Answer this question by using 350 as the mean of the tested hypothesis. ## Calculate confidence limits and the resulting p-value (the cumulative probability of this in the t distribution). ## b) What is the power of this test? What is the type II error rate?
Mar 24, 2021
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