Question
You may need to use the appropriate technology to answer this question.To study the effect of temperature on yield in a chemical process, five batches
You may need to use the appropriate technology to 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 |
33 | 31 | 23 |
24 | 31 | 29 |
35 | 33 | 28 |
38 | 23 | 31 |
35 | 27 | 29 |
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: 50C 60C 70C Ha: 50C = 60C = 70CH0: 50C = 60C = 70C 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: Not all the population means are equal.H0: Not all the population means are equal. Ha: 50C = 60C = 70CFind 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 = State your conclusion.Reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Do not reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started