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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 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 3 127 138 136 123 141 144 132 142 146 131 132 143 138 135 132 Robot 4 149 143 134 140 154 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. O Ho: Not all the population means are equal. На: н1 = H2 = H3 =H4 O Hoi H₂ #4₂ #4₂ #46₁

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 3 127 138 136 123 141 144 132 142 146 131 132 143 138 135 132 Robot 4 149 143 134 140 154 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. O Ho: Not all the population means are equal. На: н1 = H2 = H3 =H4 O Hoi H₂ #4₂ #4₂ #46₁

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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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 sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Reject Ho. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.
Transcribed Image Text: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 sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Reject Ho. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.
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 1 127 138 Ha: M₁ 136 123 141 Robot 2 Robot 3 Ho: M₁ M₂ # # M3 # 144 132 142 146 131 но: M1 = M2 = M3 M4 = M₂ = M3 = M4 132 143 Ho: : Not all the population means are equal. На: M1 = M2 = M3 = M4 138 = μ4 # Ha: M₁ M₂ M3 M4 135 132 Robot 4 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. Но: M1 = M2 = M3 = M4 H₂: : Not all the population means are equal. 149 143 134 140 154 Ho: : At least two of the population means are equal. H₂: At least two of the population means are different.
Transcribed Image Text: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 1 127 138 Ha: M₁ 136 123 141 Robot 2 Robot 3 Ho: M₁ M₂ # # M3 # 144 132 142 146 131 но: M1 = M2 = M3 M4 = M₂ = M3 = M4 132 143 Ho: : Not all the population means are equal. На: M1 = M2 = M3 = M4 138 = μ4 # Ha: M₁ M₂ M3 M4 135 132 Robot 4 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. Но: M1 = M2 = M3 = M4 H₂: : Not all the population means are equal. 149 143 134 140 154 Ho: : At least two of the population means are equal. H₂: At least two of the population means are different.
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