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A researcher is studying how much alcohol different groups of adults consume in a given week. Suppose we have the following data collected from attorneys,

A researcher is studying how much alcohol different groups of adults consume in a given week. Suppose we have the following data collected from attorneys, engineers, and physicians in which the number of servings of alcohol per week is reported.

AttorneyEngineerPhysician
345
557
546
237
375
447
555
326


(a) Use a = 0.05 to test for differences in the mean number of weekly servings of alcohol for the three professions. State the null and alternative hypotheses. Find the value of the test statistic. (Round your answer to 2 decimal places.) Find the p-value. p-value = (Round your answer to 3 decimal places.) State your conclusion. (b) Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use a = 0.05.) Find the value of LSD. LSD = (Round your answer to 2 decimal places.) Find the pairwise absolute difference between sample means for each pair of treatments. *Attorney Engineer = (Do not round your answer.) *Attorney*Physician = (Do not round your answer.) *Engineer XPhysician = (Do not round your answer.) Where do the significant differences occur? (Select all that apply.) There is a significant difference in the mean number of weekly servings of alcohol between attorneys and engineers.

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