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 4 129 143 134 151 138 133 142 143 136 141 137 136 125 145 137 141 132 128 125 144 At the ? = 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. H0: ?1 = ?2 = ?3 = ?4 Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4H0: ?1 = ?2 = ?3 = ?4 Ha: Not all the population means are equal. H0: Not all the population means are equal. Ha: ?1 = ?2 = ?3 = ?4H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: ?1 = ?2 = ?3 = ?4H0: At least two of the population means are equal. Ha: 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 H0. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal.Reject H0. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Reject H0. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.Do not reject H0. 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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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	143	134	151
138	133	142	143
136	141	137	136
125	145	137	141
132	128	125	144

At the ? = 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.

H₀: ?₁ = ?₂ = ?₃ = ?₄
H_a: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄H₀: ?₁ = ?₂ = ?₃ = ?₄
H_a: Not all the population means are equal. H₀: Not all the population means are equal.
H_a: ?₁ = ?₂ = ?₃ = ?₄H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄
H_a: ?₁ = ?₂ = ?₃ = ?₄H₀: At least two of the population means are equal.
H_a: 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 H₀. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal.Reject H₀. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Reject H₀. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.Do not reject H₀. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.

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