PROBLEM 1 – TESTING PAINT BRAND CLAIMS Situation: Does a paint brand matter? Four different paint brands advertised for the same type of paint that they have the same drying time. To check the manufacturer’s claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Action: Use the following data and ANOVA to test whether there is a significant difference in mean drying time among the paint brands. Use significance level of 5%. Discuss the business implications of the findings. Paint Brand 1 Paint Brand 2 Paint Brand 3 Paint Brand 4 128 144 133 150 137 133 143 142 135 142 137 135 124 146 136 140 141 130 131 153 SHOW THE Ho AND Ha APPROPRIATE FOR THIS PROBLEM WHAT IS THE P-VALUE FOR THIS PROBLEM? COMPARE P-VALUE TO PROBLEM STATEMENT SPECiFIED SIGNIFICANCE VALUE AND STATE WHETHER Ho SHOULD OR SHOULD NOT BE REJECTED BASED ON WHETHER Ho IS REJECTED/NOT REJECTED, STATE WHETHER THERE IS A SIGNIFICANT DIFFERENCE IN AVERAGE DRYING TIMES
PROBLEM 1 – TESTING PAINT BRAND CLAIMS
Situation:
Does a paint brand matter? Four different paint brands advertised for the same type of paint that they have the same drying time. To check the manufacturer’s claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded.
Action:
Use the following data and ANOVA to test whether there is a significant difference in mean drying time among the paint brands. Use significance level of 5%. Discuss the business implications of the findings.
Paint Brand 1 |
Paint Brand 2 |
Paint Brand 3 |
Paint Brand 4 |
128 |
144 |
133 |
150 |
137 |
133 |
143 |
142 |
135 |
142 |
137 |
135 |
124 |
146 |
136 |
140 |
141 |
130 |
131 |
153 |
- SHOW THE Ho AND Ha APPROPRIATE FOR THIS PROBLEM
- WHAT IS THE P-VALUE FOR THIS PROBLEM?
- COMPARE P-VALUE TO PROBLEM STATEMENT SPECiFIED SIGNIFICANCE VALUE AND STATE WHETHER Ho SHOULD OR SHOULD NOT BE REJECTED
- BASED ON WHETHER Ho IS REJECTED/NOT REJECTED, STATE WHETHER THERE IS A SIGNIFICANT DIFFERENCE IN AVERAGE DRYING TIMES
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