According to a particular marketing​ corporation, the per capita consumption of bottled water is 2.8 gallons per month. Assume the standard deviation for this population is 0.65 gallons per month. Consider a random sample of 49 people.   a. What is the probability that the sample mean will be less than 2.6 gallons per​ month? b. What is the probability that the sample mean will be more than 2.9 gallons per​ month? c. Identify the symmetrical interval that includes 94​% of the sample means if the true population mean is 2.8 gallons per month.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to a particular marketing​ corporation, the per capita consumption of bottled water is 2.8 gallons per month. Assume the standard deviation for this population is 0.65 gallons per month. Consider a random sample of 49 people.
 
a. What is the probability that the sample mean will be less than 2.6 gallons per​ month?
b. What is the probability that the sample mean will be more than 2.9 gallons per​ month?
c. Identify the symmetrical interval that includes 94​% of the sample means if the true population mean is 2.8 gallons per month.
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