Back to 7.1 The Central Limit Theorem for Sample Means (Averages)

7.1 Exercise 16

Avg difficulty 2.5

Previously, De Anza statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students.

  1. In words, Χ = ____________
  2. Χ ~ _____(_____,_____)
  3. In words, X ¯ \bar{X} = ____________
  4. x ¯ \bar{x} ~ ______ (______, ______)
  5. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
  6. Find the probability that the average of the 25 students was between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
  7. Explain why there is a difference in part e and part f.

OpenStax Introductory Statistics 2e, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 16

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.