Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas station. Suppose that the mean value and standard deviation of X are 11.5 and 4.0, respectively. In a sample of 50 randomly selected customers, what is the approximate probability that the sample mean amount purchased is at least 13 gallons?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas station. Suppose that the mean value and standard deviation of X are 11.5 and
4.0, respectively. In a sample of 50 randomly selected customers, what is the approximate probability that the sample mean amount purchased is at least 13 gallons?
O 35.38%
O 93.20%
O 0.40%
O 22.66%
Transcribed Image Text:Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas station. Suppose that the mean value and standard deviation of X are 11.5 and 4.0, respectively. In a sample of 50 randomly selected customers, what is the approximate probability that the sample mean amount purchased is at least 13 gallons? O 35.38% O 93.20% O 0.40% O 22.66%
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