Question
In: Statistics and Probability
A population has a mean of 180 and a standard deviation of 24. A sample of...
A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 180
standard deviation = 
= 24
n = 64
=
= 180
=
/ 
n = 24 /
64 = 3
P(183 < 
< 186 )
= P[(183 - 180) /3 < (
-
)
/
< (186 - 180 ) /3 )]
= P( 1< Z < 2 )
= P(Z < 2 ) - P(Z < 1 )
= 0.9772 - 0.8413 = 0.1359
Probability = 0.1359
orchestra answered 2 years agoRelated Solutions
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