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.
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
Section: Chapter Questions
Problem 1P
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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 | Robot 2 | Robot 3 | Robot 4 |
|-------|---------|---------|---------|---------|
| **1** | 129 | 143 | 133 | 151 |
| **2** | 137 | 139 | 142 | 142 |
| **3** | 142 | 141 | 123 | 134 |
| **4** | 136 | 142 | 143 | 137 |
| **5** | 140 | 131 | 149 | 151 |
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.
- \( H_0 \): At least two of the population means are equal.
- \( H_1 \): At least two of the population means are different.
- \( H_0 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \)
- \( H_1 \): Not all the population means are equal.
- \( H_0 \): \( \mu_1 = \mu_2 \neq \mu_3 = \mu_4 \)
- \( H_1 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \)
- \( H_0 \): Not all the population means are equal.
- \( H_1 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \)
- \( H_0 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \)
- \(
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