Question

1 point Item at position 9 The mean on a Advanced Algebra test was 78 with a standard deviation of 8. If the test scores are normal distributed, find the interval about the mean that contains 99.7% of the scores. Use the empirical rule.

Answer 1

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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