Question

Suppose that a researcher is considering the effect of three different factors on the growth rates...

Suppose that a researcher is considering the effect of three different factors on the growth rates of corn: temperature, humidity, and sunlight. For each factor, the researcher wants to investigate two levels: high and low. How many experiments need to be conducted? What if there were n different factors?

A hospital is going to select three of its 12 physicians to induct into its "Hall of Medical Fame". How many ways can it do this?

Math   Statistics-And-Probability   
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Answer #1

Three different factors each at two levels. the total number of experiments will be 2*2*2=8 experiments

This is synonymous to tossing three coins and listing out the outcomes of the experiment Each coins denotes a factor and the outcomes are levels. in total 23 experiments are conducted.

If there are 4 coins there will be 24 outcomes. Similarly for tossing n coins(factors). The total number of experiments would be 2n.

b) 3 persons out of 12 persons can be selected in 12C3 ways =

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