Question

In: Statistics and Probability

To study the effect of temperature on yield in a chemical process, five batches were produced...

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
31 35 28
21 36 33
33 39 33
36 28 35
29 32 36
  1. Construct an analysis of variance table (to 2 decimals, if necessary). Round p-value to four decimal places.
    Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
    Treatments
    Error
    Total

  2. Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

    The p-value is Select: less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10

    What is your conclusion?
    Select: Conclude that the mean yields for the three temperatures are not all equal, Conclude that the mean yields for the three temperatures are all equal

Solutions

Expert Solution


Related Solutions

To study the effect of temperature on yield in a chemical process, five batches were produced...
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 37 35 30 27 36 35 39 39 35 42 28 37 35 32 38 A. Construct an analysis of variance table (to 2 decimals, if necessary). Round p-value to four decimal places. Source of variation sum of squares degrees of freedom mean square F    P- Value Treatments Error Total...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 32 34 29 22 35 34 34 38 34 37 27 36 30 31 37 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b. Use a  level...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 32 30 25 22 31 30 34 34 30 37 23 32 30 27 33 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b. Use a.05...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 31 33 23 21 34 28 33 37 28 36 26 30 29 30 31 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). b. Use a level of significance to test whether the temperature level has an effect on the mean yield...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 34 28 27 24 29 32 36 32 32 39 21 34 32 25 35 Construct an analysis of variance table (to 2 decimals, if necessary). Round p-value to four decimal places.
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 30 26 24 20 27 29 32 30 29 35 19 31 28 23 32 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b. Use a...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical process, five batches were produced at each of the three temperature level. The results follow. 50 degree C 60 degree C 70 degree C 32 31 25 22 32 30 34 35 30 37 24 32 30 28 33 A. Construct an analysis of variance table Source Variation Sum Squares Degree Freedom Mean Square F P-Value Treatments Error Total B. use .05 level of significance to test whether the...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 31 29 25 21 30 30 33 33 30 36 22 32 29 26 33 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b. Use a  level...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 29 27 23 30 32 35 33 32 38 22 34 31 26 35 Construct an analysis of variance table (to 2 decimals, if necessary). Round 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 .05...
To study the effect of temperature on yield in a chemical process, five batches were produced...
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 31 32 20 21 33 25 33 36 25 36 25 27 29 29 28 Construct an analysis of variance table (to 2 decimals, if necessary). Round 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 .05...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT