Statistical Analysis and Sampling Methods

Mrs. Abia presents Lesson 23, focusing on using sample data to compare the means of two or more populations. The lesson introduces informal inferential procedures, emphasizing the significance of sample means being separated by at least two MADs. Two examples are discussed: one involving middle school students memorizing real vs. fake words, and another comparing homework hours between sixth and eleventh graders. The lesson concludes with guidelines on determining if population means differ based on sample data.

What is the main focus of using sample data in this lesson?

• To determine the median of a population

• To calculate the exact population means

• To find the mode of a dataset

• To compare the means of two or more populations

In Linda's study, what was the purpose of selecting students randomly?

• To focus on a specific school

• To ensure the groups are similar

• To make the study faster

• To include only the best students

What conclusion can be drawn if two sample means are separated by at least two MADS?

• The population means are the same

• The sample means are identical

• The population means are likely different

• The sample means are unreliable

What was the main variable Ken studied in his research?

• Time spent on homework

• Number of texts sent

• Number of hours slept

• Reaction time

How did Ken ensure his study was based on a random sample?

• By choosing students with the highest grades

• By asking for volunteers

• By selecting students from one class

• By using a random number generator

What does a MAD score represent in these studies?

• Mean Average Difference

• Mean Absolute Deviation

• Maximum Average Difference

• Minimum Average Deviation

What can be concluded if the number of MADS separating two means is less than two?

• The sample means are incorrect

• The population means are definitely different

• The data is invalid

• The difference might be due to sampling variability

In Ken's study, what was the mean time spent on homework for eleventh graders?

• 9.2 hours

• 8.4 hours

• 7.05 hours

• 10.32 hours

What does a skewed data distribution indicate?

• An uneven spread of data

• A perfectly symmetrical data set

• Equal data points on both sides

• A random distribution of data

What is the significance of a MAD score greater than two in these studies?

• It suggests a meaningful difference in population means

• It indicates identical sample means

• It shows the data is unreliable

• It means the sample size is too small