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 Robot 4 129 137 135 124 140 143 133 142 146 131 133 142 136 137 132 OH₂H₂H₂H₂H₂ H₂: Not all the population means are equal. O Hg: H₂ # H₂ # Hy #Ha 151 O H.: Not all the population means are equal. H₂H₂H₂H₂H4 142 136 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. OH: At least two of the population means are equal. H: At least two of the population means are different. 140 151 Hoi H₂H₂H₂H4 H₂H₂ H₂Hg 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 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 not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. O Reject H. There is not 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
129
137
135
124
140
Robot 2
143
133
142
146
131
Robot 3 Robot 4
133
O Hoi H₁ H₂ H3 #44
H₂H₁ H₂ H3 H4
142
136
137
132
O H₂H₁ = H₂ = H3 H4
H₂: Not all the population means are equal.
151
O Ho: Not all the population means are equal.
H₂: H₁ = H₂ = μ3 = μ4
142
136
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: At least two of the population means are equal.
H₂: At least two of the population means are different.
140
151
O H₂H₁ H₂ H3 = 44
H₂H₁ H₂ H3 #Ha
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 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 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 Do not reject Ho. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.
Transcribed Image Text: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 1 129 137 135 124 140 Robot 2 143 133 142 146 131 Robot 3 Robot 4 133 O Hoi H₁ H₂ H3 #44 H₂H₁ H₂ H3 H4 142 136 137 132 O H₂H₁ = H₂ = H3 H4 H₂: Not all the population means are equal. 151 O Ho: Not all the population means are equal. H₂: H₁ = H₂ = μ3 = μ4 142 136 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: At least two of the population means are equal. H₂: At least two of the population means are different. 140 151 O H₂H₁ H₂ H3 = 44 H₂H₁ H₂ H3 #Ha 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 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 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 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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