Back to 7.1 The Central Limit Theorem for Sample Means

7.1 Exercise 1

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 – \overset{–}{X} = ____________
  4. X – \overset{–}{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 Business Statistics 2e, 7.1 The Central Limit Theorem for Sample Means, exercise 1

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