a) For each situation determine the population of interest, observational units,

Question

a) For each situation determine the population of interest, observational units, type of study and sampling method that were used in each problem. Also, is the variable being studied categorical or quantitative. If categorical is it nominal or ordinal, if quantitative is it continuous or discrete?

i) A farmer wants to see which fertilizer yields the most crops. He uses 3 types: Type A, Type B and Type C. On his farm the farmer has 4 different types of soil. He randomly chooses 3 small areas on each of the soil types and randomly applies the 3 fertilizers. The farmer records how much crops were produced (rounded to the nearest pound).

ii)When looking at categorical data, when can frequency be a problem? When can relative frequency be a problem?

Explanation / Answer

For each situation determine the population of interest, observational units, type of study and sampling method that were used in each problem. Also, is the variable being studied categorical or quantitative. If categorical is it nominal or ordinal, if quantitative is it continuous or discrete?

i) A farmer wants to see which fertilizer yields the most crops. He uses 3 types: Type A, Type B and Type C. On his farm the farmer has 4 different types of soil. He randomly chooses 3 small areas on each of the soil types and randomly applies the 3 fertilizers. The farmer records how much crops were produced (rounded to the nearest pound).

Here population of interest : soil area

Observational unit : When we applies fertilizers to the different soil area then that soil is the observational unit

Type of study: Observational study

sampling method : stratified sampling

Here variable is crop yield. SO crop yield may be in integer form so the variable is continuous (quantitative)

ii)When looking at categorical data, when can frequency be a problem? When can relative frequency be a problem?

A two-way table (also called a contingency table) is used to examine relationships between categorical variables. The entries in the cells of a two-way table can be frequency counts or relative frequencie

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