Question
In: Statistics and Probability
Given a distribution that has a mean of 40 and a standard deviation of 13, calculate...
Given a distribution that has a mean of 40 and a standard deviation of 13, calculate the probability that a sample of 49 has a sample mean that is no more than 35
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 40
standard deviation = 
= 13
n = 49
= 40
= /
n = 13/
49=1.8571
P(
<35 ) = P[(
-
) /
< (35-40) /1.8571 ]
= P(z < -2.69)
Using z table
= 0.0036
probability= 0.0036
orchestra answered 3 years agoRelated Solutions
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