In an online report Medscape Today News reported that anesthesiologists
In an online report, Medscape Today News reported that anesthesiologists earned a mean income of $309,000 in 2011 (February 22, 2013). Compensation covers salary, bonus, and profit-sharing contributions. Are there regional differences in anesthesiologist’s compensation east of the Mississippi River? Suppose that in a follow-up study of 14 anesthesiologists from east of the Mississippi River and 14 anesthesiologists from west of the Mississippi River yields the following results (in $1,000's):
East of Mississippi West of Mississippi
268 ........... 380
274 ........... 364
282 ........... 300
291 ........... 364
237 ........... 339
249 ........... 271
234 ........... 322
235 ........... 403
261 ........... 384
272 ........... 238
330 ........... 342
371 ........... 300
245 ........... 244
301 ........... 271
a. Develop a point estimate of the difference between the population incomes for anesthesiologists from east of the Mississippi River and west of the Mississippi River.
b. Develop a 99% confidence interval estimate of the difference between the population incomes for anesthesiologists from east of the Mississippi River and west of the Mississippi River.
c. Do your results suggest that annual income of anesthesiologists from east of the Mississippi River is at least as large as annual incomes of anesthesiologists from west of the Mississippi River?

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