The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.64 inches and a standard deviation of 0.05 inch. A random sample of 12 tennis balls is selected.  The probability is 57​% that the sample mean will be between what two values symmetrically distributed around the population​ mean?  Give the upper boundary.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.64 inches and a standard deviation of 0.05 inch. A random sample of 12 tennis balls is selected. 

The probability is 57​% that the sample mean will be between what two values symmetrically distributed around the population​ mean?  Give the upper boundary.

(Round answer to two decimal places.)

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