Question

For a continuous random variable x, the population mean and the population standard deviation are 148 and 9, respectively. You take a simple random sample of 36 elements from this population. The mean of the sampling distribution of the sample mean is:

Answer 1

Explanation:

The sample mean is an unbiased estimator of the population; therefore its mean across samples is 189.8. The standard error (defined as the standard deviation of these sample means) is 41.7 divided by the square root of 117, the sample size.