Question
You may need to use the appropriatetechnologyto answer this question. To study the effect of temperature on yield in a chemical process, five batches were
You may need to use the appropriatetechnologyto answer this question.
To study the effect of temperature on yield in a chemical process, five batches were produced at each of the three temperature levels. The results follow.
Temperature | ||
50C | 60C | 70C |
35 | 29 | 23 |
25 | 32 | 29 |
35 | 33 | 27 |
38 | 23 | 31 |
27 | 23 | 25 |
Construct an analysis of the variance table. (Round your values for MSE andFto two decimal places and yourp-valueto four decimal places.)
Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
Treatments | |||||
Error | |||||
Total |
Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
State the null and alternative hypotheses. (Select right answer 1,2,3 4, or 5)
- H0: Not all the population means are equal. Ha:50C=60C=70C
- H0: At least two of the population means are equal. Ha: At least two of the population means are different.
- H0:50C=60C=70C Ha:50C60C70C
- H0:50C60C70C Ha:50C=60C=70C
- H0:50C=60C=70C Ha: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find thep-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
- Do not rejectH0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
- RejectH0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
- Do not rejectH0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal
- .RejectH0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
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