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 50°C 60°C 70°C 22 Error 34 Total 25 35 39 32 Source of Variation Treatments 29 32 33 23 29 27 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.) 30 A Sum Degrees of Squares of Freedom Mean Square 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 OH Not all the population means are equal H₂Honor #roc OM Honcor H.: Not all the population means are equal OH: At least two of the population means are equal H: At least two of the population means are different OHHsoncorre H₂Hson Hoc P-value OM Honor Hoc H₂ Home Hear Myn 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- State your conclusion O Reject H There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal O Reject H, There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal O Do not reject H. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal O Do not reject H. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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
34
Error
Treatments
Total
25
35
39
N
29
32
22
23
29
33 27
30
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
Sum
Degrees
Mean
of Variation of Squares of Freedom Square
23 37
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.
OH: Not all the population means are equal
HHson Hocyone
Ho soncc-₂0
H: Not all the population means are equal.
p-value
OH: At least two of the population means are equal
H: At least two of the population means are different.
Ho Hone sono
*)
H₂Hsoc-H60c-Hoc
OHHsoc Hoc #70
H:Hoc Hoc # #youc
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=
State your conclusion.
O Reject H. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal,
O Reject H. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not
equal
O Do not reject H. There is sufficient evidence to conclude that the mean yields for the three temperatures are not
equal
O Do not reject H There is not sufficient evidence to conclude that the mean yields for the three temperatures are not
equal.
Transcribed Image Text: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 50°C 60°C 70°C 34 Error Treatments Total 25 35 39 N 29 32 22 23 29 33 27 30 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 Sum Degrees Mean of Variation of Squares of Freedom Square 23 37 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. OH: Not all the population means are equal HHson Hocyone Ho soncc-₂0 H: Not all the population means are equal. p-value OH: At least two of the population means are equal H: At least two of the population means are different. Ho Hone sono *) H₂Hsoc-H60c-Hoc OHHsoc Hoc #70 H:Hoc Hoc # #youc 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= State your conclusion. O Reject H. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal, O Reject H. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal O Do not reject H. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal O Do not reject H There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
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