Answer to Question #292062 in Statistics and Probability for secret

Question

"An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 984 hours and a standard deviation of 52 hours. Random samples of 41 bulbs are drawn from this population, and the mean of each sample is determined. What is the mean of the mean of the sampling distribution?""An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 984 hours and a standard deviation of 52 hours. Random samples of 41 bulbs 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

$\mu=984\\\sigma=52\\n=41$

The mean of the sampling distribution of the means is given by the formula, $\mu_m=\mu$ where $\mu_m$ is the mean of the sampling distributions and $\mu$ is the population mean. For this case, $\mu_m=\mu=984$

Therefore, the mean of the sampling distribution of the mean is 984.