Sampling Variability and Sample Size

The video tutorial by Mr. Holcomb covers lesson 18 on sampling variability and the effect of sample sizes. It begins with an introduction to the topic, followed by a classwork example using dot plots to illustrate sampling variability. The exercises guide students through selecting random samples, calculating sample means, and creating dot plots. The lesson concludes with an analysis of how different sample sizes affect sampling variability, emphasizing the importance of larger sample sizes for more accurate estimates.

What is the main focus of the lesson introduced by Mr. Holcomb?

• Geometry and its applications

• Advanced calculus techniques

• Sampling variability and sample sizes

• The history of mathematics

In the first example, what does the first dot plot represent?

• Means of 20 samples with 10 data points each

• Means of 20 samples with 5 data points each

• Means of 10 samples with 20 data points each

• Means of 15 samples with 5 data points each

What is the purpose of using a table of random digits in sampling?

• To select random samples from a population

• To ensure samples are not random

• To avoid using statistical methods

• To calculate the mean directly

How many times should the random sampling process be repeated to calculate the sample mean?

• 5 times

• 20 times

• 15 times

• 10 times

What is the significance of creating a dot plot for the class's sample means?

• To calculate the exact population mean

• To visualize the distribution of sample means

• To compare individual student performance

• To avoid using statistical software

Which sample size showed greater sampling variability in the comparison?

• Sample size of 15

• Sample size of 5

• Sample size of 20

• Sample size of 10

What is the expected effect of increasing the sample size on sampling variability?

• Increases variability

• Decreases variability

• Has no effect

• Makes variability unpredictable

What is the approximate distance a statistician can expect the sample mean to be from the population mean with a sample size of 15?

• 2 to 3 minutes

• 5 to 6 minutes

• 7 to 8 minutes

• 10 to 12 minutes

Why is it preferable to choose a sample size that minimizes sampling variability?

• To ensure the sample mean is closer to the population mean

• To make calculations more complex

• To increase the range of data

• To avoid using statistical methods

How does the dot plot of sample means change as the sample size increases to 25?

• It becomes more spread out

• It remains unchanged

• It shows no clear pattern

• It becomes more clustered