Here are the weights (in grams) of 25 indicator housings used on gauges (see Exercise

Chapter 7, Problem 7.5-7

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Here are the weights (in grams) of 25 indicator housings used on gauges (see Exercise 6.2-8): 102.0 106.3 106.6 108.8 107.7 106.1 105.9 106.7 106.8 110.2 101.7 106.6 106.3 110.2 109.9 102.0 105.8 109.1 106.7 107.3 102.0 106.8 110.0 107.9 109.3 (a) List the observations in order of magnitude. (b) Give point estimates of 0.25, m, and 0.75. (c) Find the following confidence intervals and, from Table II in Appendix B, state the associated confidence coefficient: (i) (y3, y10), a confidence interval for 0.25. (ii) (y9, y17), a confidence interval for the median m. (iii) (y16, y23), a confidence interval for 0.75. (d) Use x t/2(24)(s/ 25 ) to find a confidence interval for , whose confidence coefficient corresponds to that of (c), part (ii). Compare these two confidence intervals of the middles.

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