Question

In: Statistics and Probability

For each of the following, state whether the quantity described is a parameter or a statistic,...

  1. For each of the following, state whether the quantity described is a parameter or a statistic, and give the correct notation.

  1.   Correlation between height and arm-span (distance from fingertip to fingertip when arms are extended to the sides) for all players on the Chicago Bulls basketball team, using data from all players currently on the team

  1. Average gas price in Minnesota, based on prices at randomly selected gas stations throughout the state.

  1. Proportion of students at a university that are part-time, based on data on all students enrolled at the university.
  1. Correlation between age and heart rate for patients admitted to an Intensive Care Unit, based on a sample of 200 patients.

Solutions

Expert Solution

Result:

  1. For each of the following, state whether the quantity described is a parameter or a statistic, and give the correct notation.

  Correlation between height and arm-span (distance from fingertip to fingertip when arms are extended to the sides) for all players on the Chicago Bulls basketball team, using data from all players currently on the team

Parameter

Population correlation coefficient: ρ

Average gas price in Minnesota, based on prices at randomly selected gas stations throughout the state.

Statistic

Sample mean:

Proportion of students at a university that are part-time, based on data on all students enrolled at the university.

Parameter

Population proportion: P or π

Correlation between age and heart rate for patients admitted to an Intensive Care Unit, based on a sample of 200 patients.

Statistic

sample correlation coefficient: r


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