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Answer :
Sure, let's tackle this question! We're trying to determine if the statement about the 68-95-99.7 Rule is true or false.
The 68-95-99.7 Rule, also known as the Empirical Rule, is a statistical rule that describes how data is distributed in a normal distribution (a bell curve). Here's a breakdown of the rule:
1. About 68% of the data falls within one standard deviation (z-scores between -1 and +1) from the mean.
2. About 95% of the data falls within two standard deviations (z-scores between -2 and +2) from the mean.
3. About 99.7% of the data falls within three standard deviations (z-scores between -3 and +3) from the mean.
Now, let's address the statement: "The 68-95-99.7 Rule cannot be used if z-scores are not integers."
- The statement suggests that the rule only applies to integer z-scores (-3, -2, -1, 1, 2, 3).
- However, the 68-95-99.7 Rule is a guide for understanding the distribution of data in terms of standard deviation, and z-scores don't have to be integers. Z-scores can be any real number, and the rule helps us estimate the probability of data falling within certain ranges of z-scores, regardless of whether they are whole numbers or not.
Therefore, the statement is false. The 68-95-99.7 Rule applies to all z-scores, not just integer ones.
So, the correct answer is: OB. The statement is false because the 68-95-99.7 Rule applies to all z-scores.
The 68-95-99.7 Rule, also known as the Empirical Rule, is a statistical rule that describes how data is distributed in a normal distribution (a bell curve). Here's a breakdown of the rule:
1. About 68% of the data falls within one standard deviation (z-scores between -1 and +1) from the mean.
2. About 95% of the data falls within two standard deviations (z-scores between -2 and +2) from the mean.
3. About 99.7% of the data falls within three standard deviations (z-scores between -3 and +3) from the mean.
Now, let's address the statement: "The 68-95-99.7 Rule cannot be used if z-scores are not integers."
- The statement suggests that the rule only applies to integer z-scores (-3, -2, -1, 1, 2, 3).
- However, the 68-95-99.7 Rule is a guide for understanding the distribution of data in terms of standard deviation, and z-scores don't have to be integers. Z-scores can be any real number, and the rule helps us estimate the probability of data falling within certain ranges of z-scores, regardless of whether they are whole numbers or not.
Therefore, the statement is false. The 68-95-99.7 Rule applies to all z-scores, not just integer ones.
So, the correct answer is: OB. The statement is false because the 68-95-99.7 Rule applies to all z-scores.
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