5.18 The shear strength of an adhesive is thought to be affected by the application pressure...

5.18 The shear strength of an adhesive is thought to be affected by the application pressure and temperature. A factorial experiment is performed in which both factors are assumed to be fixed. Analyze the data and draw conclusions. Perform a test for nonadditivity on minitab.

	Temperature (°F)
Pressure (lb/in²)	250	260	270
120	9.60	11.28	9.00
130	9.69	10.10	9.57
140	8.43	11.01	9.03
150	9.98	10.44	9.80

Solutions

Expert Solution

Strength	Temperature	Pressure
9.6	250	120
9.69	250	130
8.43	250	140
9.98	250	150
11.28	260	120
10.1	260	130
11.01	260	140
10.44	260	150
9	270	120
9.57	270	130
9.03	270	140
9.8	270	150

Temperature:

Null Hypothesis: The mean shear strength of an adhesive is the same for all levels of the temperature.

Alternative Hypothesis: The mean shear strength of an adhesive is not the same for all levels of the temperature.

Pressure

Null Hypothesis: The mean shear strength of an adhesive is the same for all levels of the pressure.

Alternative Hypothesis: The mean shear strength of an adhesive is not the same for all levels of the pressure.

Temperature: The p-value for the treatment Temperature is 0.032 and less than 0.05. Hence, we can reject the null hypothesis and conclude that there is a significant effect of temperature on the shear strength of an adhesive.

Pressure:

The p-value for the treatment Pressure is 0.673 and greater than 0.05. Hence, we can not reject the null hypothesis and conclude that there is not a significant effect of pressure on the shear strength of an adhesive.

orchestra answered 1 year ago

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