Question

Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: ; SST= 10,810; SSTR=4590

a. Set up the ANOVA table for this problem (to 2 decimals, if necessary).

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value (to 4 decimals)
Treatments
Error
Total

b.Use a=.05 to test for any significant difference in the means for the three assembly methods.

Calculate the value of the test statistic (to 2 decimals).

The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 12

What is your conclusion?

- Select your answer -Conclude not all means of the three assembly methods are equalCannot reject the assumption that the means of all three assembly methods are equal

Answer 1

Solution:

a. The ANOVA table can be completed as:

The value of the test statistic is:

The p-value is less than 0.01

What is your conclusion?

Reject the null hypothesis and can conclude that not all means of the three assembly methods are equal