Question

The average person uses 123 gallons of water daily. If the standard deviation is 21 gallons,...

The average person uses 123 gallons of water daily. If the standard deviation is 21 gallons, find the probability that the mean usage of water of a randomly selected sample of 15 people will be greater than 126 gallons.

Homework Answers

Answer #1

Solution :

Given that,

mean = = 123

standard deviation = = 21

n=15

= =123

= / n = 21 / 15 =5.42

P( > 126 ) = 1 - P( <126 )

= 1 - P[( - ) / < (126-123) /5.42 ]

= 1 - P(z < 0.55)

Using z table

= 1 - 0.7088

probability=0.2912

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