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How long it takes paint to dry can have an impact on the production capacity of a business. An auto body & paint business invested
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 Robot 4 129 144 133 151 138 134 144 143 134 142 137 135 123 147 137 141 141 128 129 150 At the a = 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. Ha: H1 = H2 = M3 = H4 O Ho: H1 = H2 = M3 = H4 H: Not all the population means are equal. O H: At least two of the population means are equal. Ha: At least two of the population means are different. O Ho: Not all the population means are equal. Ha: H1 = H2 = M3 = H4 O Ho: H1 = H2 = H3 = H4 Hai H1 * H2 * H3 # H4 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? O Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. O Reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. O Reject Ho. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal
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