Question: 1. Explain the relationship between standard error, standard deviation, and sample size.
• As the population standard deviation (cr) increases, standard error increases. Hence, the farther scores in a population deviate from the mean in a population, the farther possible sample means can deviate from the value of the population mean.
• As the sample size (n) increases, standard error decreases. Hence, the more data you collect, the closer your estimate of the value of the population mean. This relationship is explained by the law of large numbers.