You may need to use the appropriate technology to answer this question. How long it takes paint to dry can have an impact on the production capacity of a business. An auto body & paint business invested in a paint-drying robot to speed up its process. 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. Suppose the following data were obtained. Robot 1 Robot 2 Robot 3 128 137 135 125 135 145 133 Ho: M₁ = H₂ = H3 = μ4 H₂: H₁ H₂ H3 H4 141 146 125 Ho: M₁ M₂ # H3 H4 На: М1 = H2 = H3 =H4 134 142 136 136 127 Robot 4 O Ho: Not all the population means are equal. Ha: H₁ H₂ H3 = H4 150 O Ho: M₁ = M₂ = μ3 = H4 Ha: Not all the population means are equal. 143 At the α = 0.05 level of significance, test to see whether the mean drying time is the same for each type of robot. State the null and alternative hypotheses. 134 141 147 O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? ● Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal.

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