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Suppose that data for 57 randomly selected female high school athletes was collected on the maximum number of pounds they were able to bench press. The data are roughly bell​ shaped, with and x-bar = 83.4 and s = 13.3. Use the empirical rule to describe the distribution.

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68% falls within 83.4 ± 13.3 = (70.1, 96.7)

95% falls within 83.4 ± 2 * 13.3 = (56.8, 110)

99.7% falls within 83.4 ± 3 * 13.3 = (43.5, 123.3)

Empirical rule

Empirical rule states that for a normal distribution, 68% falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviation from the mean.

Given that mean = 83.4, standard deviation = 13.3, hence:

68% falls within 83.4 ± 13.3 = (70.1, 96.7)

95% falls within 83.4 ± 2 * 13.3 = (56.8, 110)

99.7% falls within 83.4 ± 3 * 13.3 = (43.5, 123.3)

Find out more on Empirical rule at: https://brainly.com/question/10093236

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