a. According to 2006 Canadian census data, the median family income in British C

Question

a. According to 2006 Canadian census data, the median family income in British Columbia was $62,346, lower than the national average of $63,866. Is the national average income a statistic or a parameter and why?

b. In the 2010–2011 soccer season, the stadiums of teams in the English Premier League had a mean capacity of 38,391 supporters. Is the mean capacity a statistic or a parameter and why?

c. The General Social Survey (GSS) includes a vocabulary test in which participants are asked to choose the appropriate synonym from a multiple-choice list of five words (e.g., beast with the choices afraid, words, large, animal, and separate). The mean vocabulary test score was 5.98. Is the mean score a statistic or a parameter and why?

d. The National Survey of Student Engagement (NSSE) asked students at participating institutions how often they discussed ideas or readings with professors outside of class. Among the 19 national universities that made their data public, the mean percentage of U.S. students who responded Very often was 8%. Is the mean percentage a statistic or a parameter and why?

Explanation / Answer

(a)

Here national average is based on census survey => it is a feature of the population => national average is parameter.

(b)

If the mean capacity was calculated based on a random sample of stadiums, it is a statistic.

If it was calculated based on data from all the statdiums, it is a parameter.

(c)

Here the mean score is calculated for a sample of students => mean score is a statistic.

(d)

Here, the mean percentage is based on sample of 19 universities => mean percentage is a statistic.

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