paint to how long auto body & paint business vested a paint-drying robot 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. Jction capacity speed up Robot 4 151 Robot 1 Robot 2 128 138 134 125 135 143 ܕܢܳܐ - 3ܐܐ - ܕܐܢܳܐ - ܢܳܐ : H 134 142 147 124 Robot 3 132 142 138 135 128 H₂H₂H₂H₂H₂ Hoi H₂H₂ H3 H4 H: Not all the population means are equal. 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: Not all the population means are equal. 140 146 OH: At least two of the population means are equal. H: At least two of the population means are different. Hoi H₂H₂ H3 H4 H₂H₂H₂H₂H₂ Find the value of the test statistic. (Round your answer to two decimal places.) 2.53 Find the p-value. (Round your answer to four decimal places.) p-value=0.000 x What is your conclusion? 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 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. Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. process. An interesting question is, Do obots have the same drying time? to test this, suppose we sample five drying times for each Activate Windows Go to Settings to activate Windows

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 4
Robot 1
128
138
134
125
135
Robot 2
143
134
142
147
| Ho: M₁ = 1₂ = 13 = 14
H₂: M₁ # M₂ # Hz # H4
124
4ܐ = 3ܬܐ = 2ܬܐ = 1ܐ :Ha
Robot 3
132
142
| Ho: M₁ # M₂ # M3 # H4
H₂: M₁ = 1₂ = 13 = 14
138
135
128
ⒸH₁: M₁ = H₂ = 143 = 14
H: Not all the population means are equal.
151
142
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.
O Ho: Not all the population means are equal.
136
140
146
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
Find the value of the test statistic. (Round your answer to two decimal places.)
2.53
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.000
x
What is your conclusion?
O 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 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.
Ⓒ Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal.
Activate Windows
Go to Settings to activate Windows.
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 4 Robot 1 128 138 134 125 135 Robot 2 143 134 142 147 | Ho: M₁ = 1₂ = 13 = 14 H₂: M₁ # M₂ # Hz # H4 124 4ܐ = 3ܬܐ = 2ܬܐ = 1ܐ :Ha Robot 3 132 142 | Ho: M₁ # M₂ # M3 # H4 H₂: M₁ = 1₂ = 13 = 14 138 135 128 ⒸH₁: M₁ = H₂ = 143 = 14 H: Not all the population means are equal. 151 142 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. O Ho: Not all the population means are equal. 136 140 146 O Ho: At least two of the population means are equal. H: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) 2.53 Find the p-value. (Round your answer to four decimal places.) p-value = 0.000 x What is your conclusion? O 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 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. Ⓒ Do not reject Ho. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. Activate Windows Go to Settings to activate Windows.
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