Question

In: Statistics and Probability

Give a real world example where we would want to compare more than two population means.  type...

Give a real world example where we would want to compare more than two population means.  type a short description of the example, and then write your example in the message body.

Solutions

Expert Solution

1) Suppose a crop researcher, want to test the effect of three different fertilizer mixtures on crop yield. He want to find out if there is a difference in crop yields between the three groups.

Let,

mu1 bet the mean of first fertilizer

mu2 be the mean of the 2nd fertilizer

mu3 be the mean of the 3rd fertilizer

Here, we want to test

Ho:mu1=mu2=mu3

Here we can use One way ANOVA test to check whether there is difference in population mean

##Other examples:

  1. Comparing the gas mileage of different vehicles, or the same vehicle under different fuel types, or road types.
  2. Understanding the impact of temperature, pressure or chemical concentration on some chemical reaction (power reactors, chemical plants, etc)
  3. Understanding the impact of different catalysts on chemical reaction rates
  4. Studying whether advertisements of different kinds solicit different numbers of customer responses
  5. Understanding the performance, quality or speed of manufacturing processes based on number of cells or steps they’re divided into

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