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.Temperature60°C50°C70°C383426283531403831432733363134a. 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 Squarep-valueTreatmentsErrorTotalb. 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 isSelectWhat is your conclusion?Select

Question
Asked Dec 5, 2019
86 views
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
60°C
50°C
70°C
38
34
26
28
35
31
40
38
31
43
27
33
36
31
34
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
p-value
Treatments
Error
Total
b. 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
What is your conclusion?
Select
help_outline

Image Transcriptionclose

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 60°C 50°C 70°C 38 34 26 28 35 31 40 38 31 43 27 33 36 31 34 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 p-value Treatments Error Total b. 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 What is your conclusion? Select

fullscreen
check_circle

Expert Answer

Step 1

a)

Null Hypothesis:

There is no significant difference among the mean yields of three temperatures.

Alternative Hypothesis:

At least one mean yield is different.

Procedure to obtain ANOVA test statistic using MegaStat:

  • Enter the data in an excel sheet.
  • Go to MegaStat > Analysis of variance > One-...
help_outline

Image Transcriptionclose

One factor ANOVA n Std. Dev Mean 37.0 5.66 50°C 4.18 60°C 33.0 31.0 3.08 70°C 33.7 15 4.85 Total ANOVA table Source df MS p-value 93.33 Treatment 46.67 2.37 1354 Error 236.00 12 19.67 Total 329.33 14

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: you took over the songs on a jukebox and determine that you like 15 of the 56 songs.  Round to three...

A: a.The probability that you like the next three songs that are played (assume a song cannot be repeat...

question_answer

Q: Company XYZ know that replacement times for the quartz time pieces it produces are normally distribu...

A: The probability that a randomly selected quartz time piece will have a replacement time less than 13...

question_answer

Q: Artificial hip joints consist of ball and socket. As the joint wears, the ball (head) becomes rough ...

A: a.Introduction to one-way ANOVA:One-way ANOVA is a statistical method for testing hypotheses regardi...

question_answer

Q: I would like the solutions for parts a-d

A: (a)The degrees of freedom is obtained as follows:

question_answer

Q: Using the Retirement funds spreadsheet, please determine if there is a significant difference betwee...

A: a).Here, we want to test if there is a significant difference between the average rate or return on ...

question_answer

Q: I would like the solution for each part of the problem

A: Hey, since there are multiple subparts posted, we will answer first four question. If you want any s...

question_answer

Q: A study is done to test the claim that Company A retains its workers longer than Company B. Company ...

A: The provided data is,

question_answer

Q: .  In the past, the average age of employees of a large corporation has been 40 years. Recently, the...

A: Introduction:The population standard deviation is not known. As a result, the sample standard deviat...

question_answer

Q: I've created a Correlation Matrix in Microsoft Excel. I need to identify 4 pairs of variables that h...

A: Consider the example of the dataset is given below: