Confidence intervals and football wins: During week 11 of the fall 2006 college football season, the population of 53 Division I-A games had a mean spread (winning score minus losing score) of 16.189, with a standard deviation of 12.128. We took a sample of four games that were played that week in the next-highest division, Division I-AA, to see if the spreads were different; one of the many leagues within Division I-AA, the Patriot League, played four games that weekend. Their mean was 8.75. In statistics, why don't we talk about having 100% confidence?

Question

Social Studies

Jonas Sampson

8 November, 07:14

Confidence intervals and football wins: During week 11 of the fall 2006 college football season, the population of 53 Division I-A games had a mean spread (winning score minus losing score) of 16.189, with a standard deviation of 12.128. We took a sample of four games that were played that week in the next-highest division, Division I-AA, to see if the spreads were different; one of the many leagues within Division I-AA, the Patriot League, played four games that weekend. Their mean was 8.75. In statistics, why don't we talk about having 100% confidence?

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Violet Warren · Answer 1

Error is always expected

Explanation:

In statisyics, We cannot talk about having 100% confidence because some error is always expected. We cannot say with absolute certainty that if we repeated the survey we would get the same results every time. This is because nothing is an absolute.