Question
In: Statistics and Probability
The average clothes washer uses 15 gallons of water per load, with a standard deviation of...
The average clothes washer uses 15 gallons of water per load, with a standard deviation of 3.0 gallons. What is the probability that a random sample of 30 loads will provide a sample mean within one half gallon of the population mean?
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 15
standard deviation = 
= 3.0
n = 30
=
= 15
=
/ 
n = 3.0 /
30
P(14.5 < 
< 15.5)
= P[(14.5 - 15) / 3.0 /
30 < (
-
)
/
< (15.5 - 15) / 3.0 /
30)]
= P(-0.91 < Z < 0.91)
= P(Z < 0.91) - P(Z < -0.91)
Using z table,
= 0.8186 - 0.1814
= 0.6372
orchestra answered 2 years agoRelated Solutions
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