Asked by bianca whiteley on May 09, 2024
Verified
The mean of the difference 
is equal to the mean of the difference 
.
Mean Difference
The average difference between two sets of data. It is commonly used in comparisons of before and after measurements or between experimental and control groups.
- Apply principles of hypothesis testing to true/false scenarios regarding population means, proportions, and variances.
Verified Answer
SM
Sydney McDanielsMay 09, 2024
Final Answer :
False
Explanation :
The two differences in question are:
- 11ea78b9_2e1f_08fb_8379_dbd07d929f97_TB4388_11
and
11ea78b9_2e1f_08fc_8379_25f31981878c_TB4388_11 - 11ea78b9_2e1f_08fc_8379_25f31981878c_TB4388_11
It is obvious that both differences are equal to zero, so their mean is also zero. Therefore, the statement is true, and the answer should be A, but since it is not possible for both choices to be correct, we must conclude that the question is flawed.
- 11ea78b9_2e1f_08fb_8379_dbd07d929f97_TB4388_11and
11ea78b9_2e1f_08fc_8379_25f31981878c_TB4388_11 - 11ea78b9_2e1f_08fc_8379_25f31981878c_TB4388_11
It is obvious that both differences are equal to zero, so their mean is also zero. Therefore, the statement is true, and the answer should be A, but since it is not possible for both choices to be correct, we must conclude that the question is flawed.
Learning Objectives
- Apply principles of hypothesis testing to true/false scenarios regarding population means, proportions, and variances.
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