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, "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	134	150
136	132	143	141
135	143	137	136
123	145	137	140
137	126	124	148

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: Not all the population means are equal. H_a: ₁ = ₂ = ₃ = ₄

H₀: ₁ = ₂ = ₃ = ₄ H_a: Not all the population means are equal.

H₀: _{1 2 3 4} H_a: ₁ = ₂ = ₃ = ₄

H₀: At least two of the population means are equal. H_a: At least two of the population means are different.

H₀: ₁ = ₂ = ₃ = ₄ H_a: _{1 2 3 4}

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?

Reject H₀. There is not 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.

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 not sufficient evidence to conclude that the mean drying times for the four robots are not all equal.