Standard 4 Exercise Diameters of oranges follow a normal distribution with a mean of 2.55 inches and a standard deviation of 0.38 inches. The smallest 3.75% of oranges are discarded as being too small for market. Using this information, determine how large an orange must be in order to go to market and not be discarded. Show all work including a proper graph, the area of interest, the z score, and the diameter(answer). Be sure your solution includes a well written sentence that answers the question clearly and completely. Give your final answer rounded to 3 digits after the decimal point.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Standard 4 Exercise
Diameters of oranges follow a normal distribution with a mean of 2.55 inches and a standard
deviation of 0.38 inches. The smallest 3.75% of oranges are discarded as being too small for market.
Using this information, determine how large an orange must be in order to go to market and not be
discarded. Show all work including a proper graph, the area of interest, the z score, and the
diameter(answer). Be sure your solution includes a well written sentence that answers the
question clearly and completely. Give your final answer rounded to 3 digits after the decimal point.
Transcribed Image Text:Standard 4 Exercise Diameters of oranges follow a normal distribution with a mean of 2.55 inches and a standard deviation of 0.38 inches. The smallest 3.75% of oranges are discarded as being too small for market. Using this information, determine how large an orange must be in order to go to market and not be discarded. Show all work including a proper graph, the area of interest, the z score, and the diameter(answer). Be sure your solution includes a well written sentence that answers the question clearly and completely. Give your final answer rounded to 3 digits after the decimal point.
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