Answer to Question #292061 in Statistics and Probability for secret

Question

"The water bills for residents in Davao City have a mean of Php2085 and a standard deviation of Php129. Random samples of 86 water bills are drawn from this population, and the mean of each sample is determined. What is the mean of the mean of the sampling distribution."

Answer 1

$n=41\\\mu=2085\\\sigma=86$

The mean of the sampling distribution of the means is given by , $\mu_m=\mu$.

 $\mu_m$ is the mean of the sampling distributions while $\mu$ is the population mean. Therefore,$\mu_m=\mu=2085$

The mean of the sampling distribution of the mean is $\mu_m=\mu=Php\space 2085.$ .