1. 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 these new thermostats were as accurate as the old. The thermostats were tested on tile irons on the 550 °F setting, and the actual temperatures were read to the nearest 0.1 °F 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 a. Can we conclude at the 0.01 level of significance that the new supplier performs better than the old supplier? Assume the populations to be approximately normal with equal variances. b. Also, show P-value.

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1. 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 these new thermostats were as accurate as the old. The thermostats were
tested on tile irons on the 550 °F setting, and the actual temperatures were read to the nearest
0.1 °F with a thermocouple. The data are as follows:
New Supplier (°F)
530.3 559.3 549.4 544.0 551.7
549.9 556.9 536.7 558.8 538.8
559.1 555.0 538.6 551.1 565.4
550.0 554.9 554.7 536.1 569.1
Old Supplier (°F)
559.7 534.7 554.8 545.0 544.6
550.7 563.1 551.1 553.8 538.8
554.5
555.0
566.3
543.3
554.9
538.0
564.6
553.0 538.4 548.3 552.9 535.1
544.8 558.4 548.7 560.3
a. Can we conclude at the 0.01 level of significance that the new supplier performs better
than the old supplier? Assume the populations to be approximately normal with equal
variances.
b. Also, show P-value.
Transcribed Image Text:1. 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 these new thermostats were as accurate as the old. The thermostats were tested on tile irons on the 550 °F setting, and the actual temperatures were read to the nearest 0.1 °F with a thermocouple. The data are as follows: New Supplier (°F) 530.3 559.3 549.4 544.0 551.7 549.9 556.9 536.7 558.8 538.8 559.1 555.0 538.6 551.1 565.4 550.0 554.9 554.7 536.1 569.1 Old Supplier (°F) 559.7 534.7 554.8 545.0 544.6 550.7 563.1 551.1 553.8 538.8 554.5 555.0 566.3 543.3 554.9 538.0 564.6 553.0 538.4 548.3 552.9 535.1 544.8 558.4 548.7 560.3 a. Can we conclude at the 0.01 level of significance that the new supplier performs better than the old supplier? Assume the populations to be approximately normal with equal variances. b. Also, show P-value.
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