Chebyshev's Rule and the Empirical Rule are rules we use to find intervals where certain amounts of data from a data set is likely to fall.

Chebyshev's Rule can be used for any set of data, and guarantees that

At least 3/4 of the data (75 %) falls within 2 standard deviations of the mean.

At least 8/9 of the data ( 89 %) falls within 3 standard deviations of the mean.

Empirical Rule can be used when data is symmetric and bell-shaped, and predicts that

Approximately 95 % of the data falls within 2 standard deviations of the mean.

Approximately 99.7 % of the data falls within 3 standard deviations of the mean.

Use the above information to answer the following question.

Suppose that a set of test scores has sample mean of 78.6 and sample standard deviation of approximately 6.2.

According to Chebyshev's Rule, at least 75 % of the test scores will fall betweenBlank 1. Calculate the answer by read surrounding text. andBlank 2. Calculate the answer by read surrounding text. .

Do NOT round your answers. Be sure to give the lower value first, followed by the higher value.