The average full-sized front loading energy star clothes washer uses 15 gallons of water per load. Assume that the population standard deviation for the number of gallons of water used to wash a load by these machines is 3.0.  a) What is the probability that a random sample of 90 loads washed in a full sized front loading energy star clothes washer will provide a sample mean gallons of water used that is within one-half gallon of the population mean of 15 gallons?  b) What is the probability that a random sample of 90 loads washed in a full size front loading energy star clothes washer will prvide a smaple mean gallons of water used that is at least three-quarters of a gallon greater than the population mean of 15 gallons.  c) What is the probability that a random sample of 75 loads washed in a full sized front loading energy stars clothes washer will provide a sample mean gallons of water used that is no more than one-quarter of a gallon less than the population mean of 15 gallons.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The average full-sized front loading energy star clothes washer uses 15 gallons of water per load. Assume that the population standard deviation for the number of gallons of water used to wash a load by these machines is 3.0. 

a) What is the probability that a random sample of 90 loads washed in a full sized front loading energy star clothes washer will provide a sample mean gallons of water used that is within one-half gallon of the population mean of 15 gallons? 

b) What is the probability that a random sample of 90 loads washed in a full size front loading energy star clothes washer will prvide a smaple mean gallons of water used that is at least three-quarters of a gallon greater than the population mean of 15 gallons. 

c) What is the probability that a random sample of 75 loads washed in a full sized front loading energy stars clothes washer will provide a sample mean gallons of water used that is no more than one-quarter of a gallon less than the population mean of 15 gallons. 

 

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