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An experiment was run to examine the amount of time it takes to boil a given...

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Question

Basic Math

  1. An experiment was run to examine the amount of time it takes toboil a given amount of water on the four different burners of herstove, and with 0, 2, 4, or 6 teaspoons of water. The numbers inparentheses are run order. The results of the design are givenbelow. Use a=0.05 unless otherwise specified

Salt (teaspoons)

Burner

0

2

4

6

Right Back

7(7)

4(13)

7(24)

5(15)

8(21)

7(25)

7(34)

7(33)

7(30)

7(26)

7(41)

7(37)

Right Front

4(6)

4(36)

4(1)

4(28)

4(20)

5(44)

4(14)

4(31)

4(27)

4(45)

5(18)

4(38)

Left Back

6(9)

6(46)

7(8)

5(35)

7(16)

6(47)

6(12)

6(39)

6(22)

5(48)

7(43)

6(40)

Left Front

9(29)

8(5)

8(3)

8(2)

9(32)

8(10)

9(19)

8(4)

9(42)

8(11)

10(23)

7(17)

  1. Analyze the full model and check for significance
  2. Reduce your model
  3. Check the adequacy of this model
  4. Determine which settings yield the shortest time

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