A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee.   Test by using  α=0.05.  Their data is given below. Machine A Machine B Machine C 11.8 11.7 12.2 12.1 11.9 12.1 12.0 11.7 12.0 11.9 11.8 11.9 12.1 12.0 12.2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee.   Test by using  α=0.05.  Their data is given below.

Machine A Machine B Machine C

11.8

11.7 12.2
12.1 11.9 12.1
12.0 11.7 12.0
11.9 11.8 11.9
12.1 12.0 12.2

 



Group of answer choices
There is sufficient evidence  to reject the claim that the proportions are equal because the p-value 0.0255 < 0.05
There is insufficient evidence  to conclude the claim that the proportions are equal because the p-value 0.0255 < 0.05
There is insufficient evidence  to reject the claim that the proportions are equal because the p-value 0.0255 < 0.05
There is sufficient evidence  to conclude the claim that the proportions are equal because the p-value 0.0255 < 0.05
Expert Solution
Step 1

Null Hypothesis:

H0: The three proportions are equal.

Alternative Hypothesis:

H1: At least two proportions are different.

Excel Procedure:

Enter the data for Machine A, Machine B and Machine C in Excel sheet>Go to Data Menu>Click on Data Analysis> ‘Anova: single factor’ and click on ‘OK’>Select the data under ‘input range’>Click on ‘OK’.

Excel Output:

Statistics homework question answer, step 1, image 1

From the output, the p value is 0.0255.

 

 

 

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