Question
In: Statistics and Probability
Consider a population of 300 with a mean of 55 and a standard deviation equal to...
Consider a population of 300 with a mean of 55 and a standard deviation equal to 22.
What is the probability of obtaining a sample mean of 57 or less from a sample of 35?
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 55
standard deviation = 
= 22
n = 35
= 55
= /
n = 22/
35=3.72
P(
<57 ) = P[(
-
) /
< (57-55) /3.72 ]
= P(z <0.54 )
Using z table
= 0.7054
orchestra answered 3 years agoRelated Solutions
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