In Tucson, Arizona, the air pollution index averages 62.5 during the year with a standard deviation of 18. Assuming normality, the index falls within what interval 95% of the time?

Question

Mathematics

Quincy Mcdaniel

28 March, 03:10

In Tucson, Arizona, the air pollution index averages 62.5 during the year with a standard deviation of 18. Assuming normality, the index falls within what interval 95% of the time?

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Answers (1)

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Savion Kelley · Answer 1

Using the empirical rule for a normal distribution. the required interval is within plus and minus two standard deviations from the mean:

62.5 - 36 = 26.5.

62.5 + 36 = 98.5.

The interval is (26.5, 98.5).