1 IQ is normally distributed in the population with a mean o

1. IQ is normally distributed in the population with a mean of 100 and a standard deviation of 15. What is the standard error of the mean for a sample of 25 people?

2. IQ is normally distributed in the population with a mean of 100 and a standard deviation of 15. What is the mean of the sampling distribution of the mean for a sample of 25 people?

Solution

1. IQ is normally distributed in the population with a mean of 100 and a standard deviation of 15. What is the standard error of the mean for a sample of 25 people?

SE = sigma/sqrt(n) = 15/sqrt(25)

SE = 3 [ANSWER]

   
2. IQ is normally distributed in the population with a mean of 100 and a standard deviation of 15. What is the mean of the sampling distribution of the mean for a sample of 25 people?

It is the same as the mean of the population,

u(X) = 100 [ANSWER]