
Measures of Voltage The author measured voltage amounts from three different sources: (1) electricity supplied directly to the author’s home, (2) an independent gas-powered Generac generator (model PP 5000), and (3) an uninterruptible power supply (APC model CS 350) connected to the author’s home power supply. The results from analysis of variance are shown below. What is the null hypothesis for this analysis of variance test? What specific result is used in deciding to reject H0 or fail to reject H0? Based on the displayed results, should you reject H0 or fail to reject H0?

To identify: The null hypothesis.
To explain: The specific result that is used in deciding to reject Ho and fail to reject Ho.
To check: Whether the null hypothesis is rejected or fails to reject by using the results.
Answer to Problem 1CQQ
The null hypothesis is,
The specific result that is used in deciding to reject Ho and fail to reject Ho is the decision rule based on P value.
The null hypothesis is rejected.
Explanation of Solution
Given info:
The Minitab output shows the result of analysis of variance for the voltage amounts from three different sources. The sources are electricity supplied directly to the author’s home, an independent gas-powered generac generator (model PP 5000) and an uninterruptible power supply (APC model CS 350).
Calculation:
State the test hypotheses.
Let
Null hypothesis:
Alternative hypothesis:
From the Minitab output, the P-value is 0.000.
Decision criteria for the P-value method:
If
If
Conclusion:
The P-value is 0.000 and the significance level is 0.05.
Here, the P-value is lesser than the significance level.
That is,
Here, the null hypothesis is rejected.
Thus, there is sufficient evidence to reject the claim that the mean voltage amounts from three sources are same.
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Chapter 12 Solutions
Elementary Statistics
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