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A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.5 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm ZABA What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places) 49 mm 54 mm What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)

A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.5 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm ZABA What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places) 49 mm 54 mm What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)

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A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.8 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm. What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places.) 49 mm 54 mm 254 What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)
Transcribed Image Text:A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.8 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm. What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places.) 49 mm 54 mm 254 What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)
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