A large hotel chain is trying to decide whether to convert more of its rooms to nonsmoking rooms. In a random sample of 400 guests last year, 166 had requested nonsmoking rooms. This year, 205 guests in a sample of 380 preferred the nonsmoking rooms. Would you recommend that the hotel chain convert more rooms to nonsmoking? Support your recommendation by testing the appropriate hypotheses at a 0.01 level of signifi cance.

  1. Find the mean change in earnings per share between 1991 and 1992.
  2. Find the standard deviation of the change and the standard error of the mean.
  3. Were average earnings per share different in 1991 and 1992? Test at α = 0.02.

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