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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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Question
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:
From the output, the p value is 0.0255.
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