Solved: A manufacturer of electric irons produces these

Chapter 1, Problem 9.97

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A manufacturer of electric irons produces these items in two plants. Both plants have the same suppliers of small parts. A saving can be made by purchasing thermostats for plant B from a local supplier. A single lot was purchased from the local supplier, and a test was conducted to see whether or not these new thermostats were as accurate as the old. The thermostats were tested on tile irons on the 550F setting, and the actual temperatures were read to the nearest 0.1F with a thermocouple. The data are as follows: New Supplier (F) 530.3 559.3 549.4 544.0 551.7 566.3 549.9 556.9 536.7 558.8 538.8 543.3 559.1 555.0 538.6 551.1 565.4 554.9 550.0 554.9 554.7 536.1 569.1 Old Supplier (F) 559.7 534.7 554.8 545.0 544.6 538.0 550.7 563.1 551.1 553.8 538.8 564.6 554.5 553.0 538.4 548.3 552.9 535.1 555.0 544.8 558.4 548.7 560.3 Find 95% condence intervals for 2 1/2 2 and for 1/2, where 2 1 and 2 2 are the population variances of the thermostat readings for the new and old suppliers, respectively.

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