Paint-Drying Robots. How long it takes paint to dry can have an impact on the production...

Paint-Drying Robots. How long it takes paint to dry can have an impact on the production capacity of a business. In May 2018, Deal’s Auto Body & Paint in Prescott, Arizona, invested in a paintdrying 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 paintdrying robots have the same drying time?” To test this, sup pose we sample five drying times for each of different brands of paintdrying 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.
Robot 1: 128 137 135 124 141

Robot 2: 144 133 142 146 130
Robot 3 : 133 143 137 136 131
Robot 4: 150 142 135 140 153

At the a = .05 level of significance, test to see whether the mean drying time is the same for each brand of robot

Expert Solution

Using Minitab software, (Stat -> ANOVA -> One way), we get the following output :

Here,

The value of F statistic = 2.54

and P-value = 0.093

Since P-value > 0.05, so we fail to reject H₀ at 5% level of significance and we can conclude that the mean drying time is not significantly different for different brands of robot.

milcah answered 1 year ago

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