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Question: Here is the table that was presented in the Case Study at the beginning of this chapter.
Female Male Total
Assistant professors 151 254 405
Associate professors 154 397 551
Professors 99 642 741
Total 404 1293 1697
Use what you learned in this chapter to answer the following questions.
1. What percentage of the assistant professors are women?
2. What percentage of the associate professors are women?
3. What percentage of the full professors are women?
4. As rank increases from assistant to full professor, how does the percentage of women change? Are women overrepresented, underrepresented, or appropriately represented in the highest rank?
5. Do these data show that women have a harder time gaining promotion? Discuss.
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In order to test to see if there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected:
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The data is given below. At 0.05 significance level, test the research hypothesis that μ, the average ratio, is greater than 675. Test the hypothesis using two approaches: the rejection region approach, and the p-value approach.
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