Question

What is the probability of obtaining a sample mean of 53 or less from a sample of 50​?

Answer 1

Sampling errorThe natural discrepancy, or amount of error, between a sample statistic and its corresponding population parameter.distribution of sample meansThe collection of sample means for all of the possible random samples of a particular size (n) that can be obtained from a population.sampling distributionA distribution of statistics obtained by selecting all of the possible samples of a specific size from a population.central limit theoremFor any population with mean μ and standard deviation σ, the distribution of sample means for sample size n will have a mean of μ and a standard deviation of σ/√n and will approach a normal distribution as n approaches infinity.expected value of MThe mean of the distribution of sample means is equal to the mean of the population of scores, μ, and is called this.standard error of MThe standard deviation for the distribution of sample means. Identified by the symbol σ˯M. This standard error provides a measure of how much distance is expected on average between a sample mean (M) and the population mean (μ).law of large numbersStates that the larger the sample size (n), the more probable it is that the sample mean is close to the population mean.