The interval about the empirical rule is [54,102].
According to the statement
we have given that the value of mean is 78 and standard deviation of 8.
And the interval about the mean that contains 99.7% of the scores.
So, For this purpose, we know that the
The empirical rule is 99.7% Rule states that approximately 99.7% of observations fall within two standard deviations of the mean on a normal distribution.
So, from the statement
The empirical rule says about 99.7% of any normal distribution lies within three standard deviations of the mean. This corresponds to the interval
[(78-3)*8, (78+3)*8]
[54,102].
So, The interval about the empirical rule is [54,102].
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