Question
In: Statistics and Probability
you may need to use the appropriate technology to answer this question. To study the effect...
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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 | ||
|---|---|---|
| 50°C | 60°C | 70°C |
| 33 | 30 | 24 |
| 23 | 30 | 29 |
| 35 | 34 | 27 |
| 39 | 24 | 29 |
| 30 | 27 | 36 |
Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to 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: At least two of the population means are
equal.
Ha: At least two of the population means are
different.H0: μ50°C =
μ60°C = μ70°C
Ha: Not all the population means are
equal. H0: Not all the
population means are equal.
Ha: μ50°C =
μ60°C =
μ70°CH0:
μ50°C ≠ μ60°C ≠
μ70°C
Ha: μ50°C =
μ60°C =
μ70°CH0:
μ50°C = μ60°C =
μ70°C
Ha: μ50°C ≠
μ60°C ≠ μ70°C
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 =
Solutions
orchestra answered 2 years agoRelated Solutions
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