How long it takes paint to dry can have an impact on the production capacity of a business. In May , Deal's Auto Body & Paint in Prescott, Arizona, invested in a paint-drying robot to speed up its process (The Daily Courier website, https://www.dcourier.com/photos/2018/may/26/984960336/). An interesting question is, "Do all paint-drying robots have the same drying time?" To test this, suppose we sample five drying times for each of different brands of paint-drying robots. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained. Click on the datafile logo to reference the data. Robot 1 Robot 2 Robot 3 Robot 4 128 144 133 150 137 133 143 142 135 142 137 135 124 146 136 140 141 130 131 153 At the a=.05 level of significance, test to see whether the mean drying time is the same for each brand of robot. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). The p-value is: What is your conclusion?
How long it takes paint to dry can have an impact on the production capacity of a business. In May , Deal's Auto Body & Paint in Prescott, Arizona, invested in a paint-drying robot to speed up its process (The Daily Courier website, https://www.dcourier.com/photos/2018/may/26/984960336/). An interesting question is, "Do all paint-drying robots have the same drying time?" To test this, suppose we sample five drying times for each of different brands of paint-drying robots. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Click on the datafile logo to reference the data.
| Robot 1 | Robot 2 | Robot 3 | Robot 4 |
| 128 | 144 | 133 | 150 |
| 137 | 133 | 143 | 142 |
| 135 | 142 | 137 | 135 |
| 124 | 146 | 136 | 140 |
| 141 | 130 | 131 | 153 |
At the a=.05 level of significance, test to see whether the mean drying time is the same for each brand of robot.
Compute the values identified below (to 2 decimals, if necessary).
| Sum of Squares, Treatment | |
| Sum of Squares, Error | |
| Mean Squares, Treatment | |
| Mean Squares, Error |
Calculate the value of the test statistic (to 2 decimals).
The p-value is:
What is your conclusion?
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