Exercises 22.5, page 641

  1. 1. UCL(x ¯ ) = 504.7 mg ,  LCL(x ¯ ) = 494.7 mg

  2. 3. The first point would be below the x ¯  line at 499.7. The UCL and LCL lines would be 0.2 unit lower.

  3. 5. x ¯  ¯  = 361.8 N ∙  m ,  UCL  = 368.9 N ∙  m ,  LCL  = 354.6 N ∙  m

  4. 7.

    A chart where the x-axis is hour from 1 to 20, and the y-axis is sample mean, N times m, from 350 to 370. A line graph rises and falls about y = 360.

  5. 9. x ¯  ¯  = 8.986 V ,  UCL  = 9.081 V ,  LCL  = 8.890 V

  6. 11.

    A chart where the x-axis is subgroup from 1 to 24, and the y-axis is sample mean, V, from 8.85 to 9.10. A line graph rises and falls about y = 9.00 with peaks near x = 1, and low points near x = 20.

  7. 13. μ = 2.725 in .  ,  UCL  = 2.768 in .  ,  LCL  = 2.682 in . 

  8. 15. μR = 5.57 mL ,  UCL  = 11.17 mL ,  LCL  = 0.00 mL

  9. 17. p ¯  = 0.0369 ,  UCL  = 0.0548 ,  LCL  = 0.0190

  10. 19. p ¯  = 0.0580 ,  UCL  = 0.0894 ,  LCL  = 0.0266

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