Page 210 - Statistics for Dummies
P. 210

194
                                         Part IV: Guesstimating and Hypothesizing with Confidence
                                                    in the dark. Here are some examples of estimates that I came across in one
                                                    single issue of a leading business magazine. They come from a variety of
                                                    sources:
                                                     ✓ Even though some jobs are harder to get these days, some areas are
                                                        really looking for recruits: Over the next eight years, 13,000 nurse anes-
                                                        thetists will be needed. Pay starts from $80,000 to $95,000.
                                                     ✓ The average number of bats used by a major league baseball player per
                                                        season is 90.
                                                     ✓ The Lamborghini Murcielago can go from 0 to 60 mph in 3.7 seconds
                                                        with a top speed of near 205 miles per hour.
                                                    Some of these estimates are easier to obtain than others. Here are some
                                                    observations I was able to make about those estimates:
                                                     ✓ How do you estimate how many nurse anesthetists are needed over the
                                                        next eight years? You can start by looking at how many will be retiring
                                                        in that time; but that won’t account for growth. A prediction of the need
                                                        in the next year or two would be close, but eight years into the future is
                                                        much harder to do.
                                                     ✓ The average number of bats used per major league baseball player in a
                                                        season could be found by surveying the players themselves, the people
                                                        who take care of their equipment, or the bat companies that supply
                                                        the bats.
                                                     ✓ Determining car speed is more difficult but could be conducted as a test
                                                        with a stopwatch. And they should find the average speed of many dif-
                                                        ferent cars (not just one) of the same make and model, under the same
                                                        driving conditions each time.
                                                    Not all statistics are created equal. To determine whether a statistic is reliable
                                                    and credible, don’t just take it at face value. Think about whether it makes
                                                    sense and how you would go about formulating an estimate. If the statistic is
                                                    really important to you, find out what process was used to come up with it.
                                                    (Chapter 16 handles all the elements involving surveys, and Chapter 17 gives
                                                    you the lowdown on experiments.)



                                         Linking a Statistic to a Parameter


                                                    A parameter is a single number that describes a population, such as the
                                                    median household income for all households in the U.S. A statistic is a single
                                                    number that describes a sample, such as the median household income of
                                                    a sample of, say, 1,200 households. You typically don’t know the values of
                                                    parameters of populations, so you take samples and use statistics to give
                                                    your best estimates.








                                                                                                                           3/25/11   8:14 PM
                             20_9780470911082-ch13.indd   194                                                              3/25/11   8:14 PM
                             20_9780470911082-ch13.indd   194
   205   206   207   208   209   210   211   212   213   214   215