One year, the distribution of salaries for professional sports players had mean
ID: 3132799 • Letter: O
Question
One year, the distribution of salaries for professional sports players had mean $18 million and standard deviation $0.6 million. Suppose a sample of 400 major league players was taken. Find the approximate probability that the average salary of the 400 players that year exceeded $1.1 million The number of cars running a red light in a day. at a given intersection possesses a distribution with a mean of 4.2 cars and a standard deviation of 6. The number of cars running the red light was observed on 100 randomly chosen days and the mean number of cars calculated. Describe the sampling distribution of the sample mean.Explanation / Answer
14)mean=73,stddev=3.5,n=49,x=74
for the average score
mean=73,stddev=3.5/sqrt(49)=0.5
hence Z=(74-73)/0.5=2
Hence P(Z>x)=P(Z>2) =1-P(Z<2) =0.0228-------------->Options D)
15)mean=1.8,stddev=0.6,n=400,x=1.1
for the average score
mean=1.8,stddev=0.6/sqrt(400)=0.03
hence Z=(1.1-1.8)/0.03=-23.33
Hence P(x<Z)=1-P(Z<-23.33)= approximately 1------------------------->Option C)
16)mean=4.2,stddev=6,n=100
Hence for the mean of cars
mean=4.2,stddev=6/sqrt(100)=0.6
The distribution needs to be normal as from central limit theorem--------->Option A)
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