A psychologist interested in political behavior measured the square footage of the desks in the official office of four U.S. governors and of four chief executive officers (CEOs) of major U.S. corporations. The figures for the governors were 44, 36, 52, and 40 square feet. The figures for the CEOs were 32, 60, 48, and 36 square feet. (a) Figure the mean and standard deviation for the governors and for the CEOs. (b) Explain what you have done to a person who has never had a course in statistics. (c) Note the ways in which the means and standard deviations differ, and speculate on the possible meaning of these differences, presuming that they are representative of U.S. governors and large corporations’ CEOs in general.
statistics - PsyDAG, Tuesday, June 30, 2009 at 11:10am
I assume you can calculate the means and standard deviations.
In explaining the difference between means, you might mention the null hypothesis and alternate hypothesis (two-tailed or one-tailed), along with the probability of alpha (type I) error (rejecting null hypothesis when it is really true).
Whether you accept or reject the null hypothesis, then you need to interpret the meaning of your results.
Of course, you will need to elaborate this information. You will find that, if you can explain the process clearly to someone else, you will have a much clearer understanding of the process yourself. It makes your knowledge much more explicit. Good luck!
I hope this helps. Thanks for asking.