PS1 206A F07

# PS1 206A F07 - ESM 206 Problem Set 1 MicroExam due Friday...

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ESM 206 Problem Set 1 MicroExam due Friday, December 7 For the short version, I recommend trying at least A1, 5, 6, 7, 9; in section B, doing the power analysis for at least one of each type of t-test; doing all problems in sections C, E, and F; and in section D, assessing normality for problems 1 and 9. A: t -test practice For each of the following questions, (a) state the appropriate null and alternate hypotheses; (b) state which statistical procedure should be used to test the null hypothesis; (c) run the test, reporting the values of t , degrees of freedom, and P ; (d) draw conclusions based on α = 0.1, α = 0.05, α = 0.01, and α = 0.001. 1. A species of marine arthropod lives in seawater that contains calcium in a concentration of 30 mmole/kg of water. Thirteen of the animals are collected and the calcium concentrations in their coelomic fluid are found to be: 28, 27, 29, 29, 30, 30, 31, 30, 33, 27, 30, 32, and 31 mmole/kg. Test the appropriate hypothesis to conclude whether members of this species maintain a coelomic calcium concentration less than that of their environment. 2. Twenty-five intertidal crabs were placed in air at 24.3 ° C, and their body temperatures were measured as: 25.8, 24.6, 26.1, 22.9, 25.1, 27.3, 24.0, 24.5, 23.9, 26.2, 24.3, 24.6, 23.3, 25.5, 28.1, 24.8, 23.5, 26.3, 25.4, 25.5, 23.9, 27.0, 24.8, 22.9, 25.4. Test the appropriate hypothesis to conclude whether members of this species maintain their bodies at a different temperature than the air. 3. The menstrual cycles in a random sample of fifteen women, measured in days, were found to be: 26, 24, 29, 33, 25, 26, 23, 30, 31, 30, 28, 27, 29, 28. Test the appropriate hypothesis to determine whether the average human menstrual cycle equals a lunar month (29.5 days). 4. Over eight repeated experiments, the dissolving time (in seconds) of a drug in gastric juices was found to be: 42.7, 43.4, 44.6, 45.1, 45.6, 45.9, 46.8, 47.6. Test the null hypothesis that the mean dissolving time is no more than 45 seconds. 5. Using the data from the previous question, test the null hypothesis that the mean dissolving time is no less than 45 seconds.

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