Question 7.93

93. Measuring Well-Being. The Gallup-Healthways Well-Being Index represents an average of the reported emotional health, physical health, healthy behavior, and work environment of the survey respondents.4 Gallup reported that the mean Well-Being Index in 2013 was . Assume the standard deviation was . Suppose we take a sample of 25 survey respondents. If we assume the underlying distribution is normal, find the probability that the sample mean Well-Being Index will have the following values:

  1. Greater than 76.2
  2. Between 56.2 and 76.2
  3. Less than 56.2

7.1.93

(a) Approximately 0 (b) Approximately 1 (c) Approximately 0