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 produced
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 three temperature levels. The results follow.
Temperature | ||
---|---|---|
50C | 60C | 70C |
34 | 30 | 22 |
25 | 30 | 29 |
37 | 33 | 29 |
39 | 23 | 31 |
25 | 24 | 24 |
Construct an analysis of 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.
H0: Not all the population means are equal. Ha:50C=60C=70CH0:50C=60C=70C Ha:50C60C70C H0:50C=60C=70C Ha: Not all the population means are equal.H0:50C60C70C Ha:50C=60C=70CH0: 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 thep-value. (Round your answer to four decimal places.)
p-value =
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