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Using the <u>Central Limit Theorem</u>, the statement is false, as for the averages of the data values for a sample group, the standard error is , hence, the formula is:
While for a single value, it is:
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
Hence, the formulas are different, and for an average of the data values for a sample group it is:
A similar problem is given at brainly.com/question/24663213