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Mathematics majors generally have one of the highest starting salaries. Suppose the average starting salary for...

Mathematics majors generally have one of the highest starting salaries. Suppose the average starting salary for mathematics majors is $48000 with a standard deviation of $6900. Find the probability that 35 mathematics majors have an average starting salary less than $48079 thousand.

math   Statistics-And-Probability   
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Answer #1
for normal distribution z score =(X-μ)/σx
here mean=       μ= 48000
std deviation   =σ= 6900
sample size       =n= 35
std error=σx̅=σ/√n= 1166.31287
probability =P(X<48079)=(Z<(48079-48000)/1166.313)=P(Z<0.07)=0.5279
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