Deceptive Statistics

Business Statistics

Assignment Week 3

Question 1

If you could stop time and live forever in good health, what age would you pick? Answers to this question were reported in a USA Today Snapshot. The average ideal age for each age group is listed in the following table; the average ideal age for all adults was found to be 41. Interestingly, those younger than 30 years want to be older, whereas those older than 30 years want to be younger.

Age Group Ideal Age
18 – 24 27
25 – 29 31
30 – 39 37
40 – 49 40
50 – 64 44
65 + 59

Age is used as a variable twice in this application.

  • The age of the person being interviewed is not the random variable in this situation. Explain why and describe how “age” is used with regard to age group.
  • What is the random variable involved in this study? Describe its role in this situation.
  • Is the random variable discrete or continuous?
Question 2

Find the area under the normal curve that lies to the left of the following z-values.

  • Z=-1.30
  • Z=-3.20
  • Z=-2.56
  • Z=-0.64
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed            10
Total 100

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