Comparing Treatments Using Resampling: Determining the Effectiveness of New Salt Substitute and Fertilizer

This video tutorial explains how to compare treatments using a resampling strategy. It begins with an introduction to the concept of treatment comparison, using a salt substitute as an example. The properties of the normal distribution are reviewed, highlighting the bell curve and standard deviation. The video then introduces resampling, a statistical method that uses sample data without relying on standard assumptions. An example involving fertilizer yield is provided to demonstrate the resampling process. The tutorial concludes with an analysis of the salt substitute data, showing how resampling can determine treatment effects.

What is the main objective of the researcher in the salt substitute study?

• To find a new salt substitute

• To determine if a new salt substitute lowers blood pressure more than the leading one

• To compare the taste of different salt substitutes

• To measure the salt content in various substitutes

Which of the following is NOT a property of the normal distribution?

• The mean is at the center of the bell curve

• Approximately 68% of data is within one standard deviation

• The distribution is always skewed to the right

• Approximately 95% of data is within two standard deviations

What is the primary purpose of resampling in statistics?

• To simplify complex data sets

• To replace missing data points

• To increase the sample size artificially

• To use available sample data instead of relying on standard assumptions

In the peanut farmer example, what was the initial difference in yield between the new and old fertilizer?

• 57.1 pounds per acre

• 29.1 pounds per acre

• 0 pounds per acre

• 80 pounds per acre

What does a value of 0 indicate in the resampling graph for the fertilizer study?

• There is no difference between the fertilizers

• The old fertilizer is more effective

• The data is inconclusive

• The new fertilizer is more effective

In the salt substitute study, what was the original difference of means?

• Negative 10.5

• Positive 10.5

• Zero

• Negative 80

What conclusion was drawn from the salt substitute study using resampling?

• The new salt substitute has the same effect as the old one

• The new salt substitute lowers blood pressure

• The new salt substitute does not affect blood pressure

• The new salt substitute raises blood pressure