Lindsey Dawson
02/05/2023 · High School

16 The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 30 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 35 days, 26 days, and 46 days. Find the z-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 35 days, 40 days, and 20 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 35 days is (Type an integer or a decimal rounded to two decimal places as needed.)

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(a) The z-scores are: - 35 days: \(1.00\) - 26 days: \(-0.80\) - 46 days: \(3.20\) (unusual) (b) The percentiles are: - 35 days: 84th percentile - 40 days: 97.5th percentile - 20 days: 2.5th percentile

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