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Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 55.1 mm and a standard deviation of 2.9 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.3 mm Z48.3 = What percent of butterflies had a wingspan less than 48.3 mm? (Round your answer to one decimal place.) % (b) Find the z-scores for the following data values. (Round your answers to two decimal places.) 49 mm Z49 = 56 mm Z56 = What percent of butterflies had a wingspan between 49 mm and 56 mm? (Round your answer to one decimal place.) %

Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 55.1 mm and a standard deviation of 2.9 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.3 mm Z48.3 = What percent of butterflies had a wingspan less than 48.3 mm? (Round your answer to one decimal place.) % (b) Find the z-scores for the following data values. (Round your answers to two decimal places.) 49 mm Z49 = 56 mm Z56 = What percent of butterflies had a wingspan between 49 mm and 56 mm? (Round your answer to one decimal place.) %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 55.1 mm and a standard deviation of 2.9 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.3 mm Z48.3 = What percent of butterflies had a wingspan less than 48.3 mm? (Round your answer to one decimal place.) % (b) Find the z-scores for the following data values. (Round your answers to two decimal places.) 49 mm Z49 = 56 mm Z56 = What percent of butterflies had a wingspan between 49 mm and 56 mm? (Round your answer to one decimal place.) %
Transcribed Image Text:Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 55.1 mm and a standard deviation of 2.9 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.3 mm Z48.3 = What percent of butterflies had a wingspan less than 48.3 mm? (Round your answer to one decimal place.) % (b) Find the z-scores for the following data values. (Round your answers to two decimal places.) 49 mm Z49 = 56 mm Z56 = What percent of butterflies had a wingspan between 49 mm and 56 mm? (Round your answer to one decimal place.) %
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