Question: You may need to use the appropriate technology to answer this question. Three different assembly methods have been proposed for a new product. A completely
You may need to use the appropriate technology to answer this question.
Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number of units produced by each worker follows.
| Method | ||
|---|---|---|
| A | B | C |
| 97 | 93 | 99 |
| 73 | 100 | 94 |
| 93 | 93 | 87 |
| 100 | 55 | 66 |
| 73 | 77 | 59 |
| 91 | 91 | 75 |
| 100 | 85 | 84 |
| 86 | 73 | 72 |
| 92 | 90 | 88 |
| 95 | 83 | 86 |
Use these data and test to see whether the mean number of parts produced is the same with each method. Use = 0.05
.State the null and alternative hypotheses.
H0: A B C Ha: A = B = C
H0: Not all the population means are equal. Ha: A = B = C
H0: A = B = C Ha: Not all the population means are equal
.H0: At least two of the population means are equal. Ha: At least two of the population means are different.
H0: A = B = C Ha: A B C
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)p-value =
State your conclusion.
Reject H0. There is not sufficient evidence to conclude that the mean number of parts produced is not the same with each method.
Reject H0. There is sufficient evidence to conclude that the mean number of parts produced is not the same with each method.
Do not reject H0. There is not sufficient evidence to conclude that the mean number of parts produced is not the same with each method.
Do not reject H0. There is sufficient evidence to conclude that the mean number of parts produced is not the same with each method.
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