Question

select the correct answer from the drop-down menu. andrew took a random sample of 10 decorated ceramic cups from a population of 100 cups to determine the sample mean number of defective cups. barbara took another random sample of 10 cups from the same population for the same task. what would happen if andrew and barbara both choose a sample size of 20? the difference of their sample means is likely to drop - down menu options: remain the same, increase, decrease

Explanation:

Step1: Recall Sampling Variability

Larger sample sizes (here, increasing from 10 to 20) reduce sampling variability. This means sample means are more likely to be closer to the population mean and to each other.

Step2: Analyze Difference in Sample Means

As sample size increases, the sample means become more precise (less variable). So the difference between two sample means (from Andrew and Barbara) should decrease because larger samples are more representative and less likely to have extreme or differing values.

Answer:

decrease