A doctor selects at random 400 patients admitted to a large
metropolitan hospital. For each patient, he records the
temperature taken when the patient is first admitted and the
temperature 24 hours later. He finds that the temperatures taken
when the patients are first admitted have an average of 101
degrees and an SD of 1.5 degrees. The temperatures taken 24 hours
after admission average 99 degrees, with SD equal to 0.5 degrees.
The correlation between the two sets of temperatures is 0.6. The
scatter diagram of the temperatures is football-shaped, and the
histograms of both sets of temperatures follow the normal curve.
Consider those patients who had temperatures of 103 degrees
when first admitted. Their temperatures 24 hours later have an
average value closest to