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6-54.
  1. A copy machine company advertises that its copiers will make at least 25,000 copies before requiring maintenance. A consumer research group tested the claim by collecting repair data for that model of copy machine in 40 different regions of the country. The means of the numbers of copies made before the copier needed maintenance for each of the 40 regions have been sorted and are listed in the table below. Homework Help ✎

    24551

    24656

    24764

    24889

    24928

    24574

    24656

    24767

    24893

    25020

    24600

    24691

    24782

    24895

    25024

    24609

    24705

    24791

    24904

    25025

    24612

    24717

    24793

    24910

    25028

    24615

    24725

    24796

    24911

    25033

    24618

    24735

    24798

    24914

    25041

    24652

    24758

    24883

    24928

    25249

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  2. What are the upper and lower 5% bounds of the sample-to-sample variability? Predict the number of copies that can be made before a machine requires maintenance. Do you think the consumer research group will dispute the company’s claim?

There are 40 data points. Which data points can be used for 5% and 95%?