We Want to Know the Mean Winning Score at the US

question 81

Multiple Choice

We want to know the mean winning score at the US Open golf championship. An internet search
Gives us all the scores for the history of that tournament, and we create a 95% confidence interval
Based on a t-distribution. This procedure was not appropriate. Why?

• A) The population standard deviation is known, so we should have used a z-model.
• B) Since these are the best players in the world, the scores are probably skewed.
• C) The entire population of scores was gathered so there is no reason to do inference.
• D) In big golf tournaments the players are not randomly selected.
• E) The recent record-setting score is probably an outlier.

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Definitions:

Confidence Interval

A range of values used in statistics that estimates where a true parameter value for a given population lies with a certain level of confidence.

Sample Standard Deviation

A measure of the dispersion or variation in a set of sample data, representing how much individual data points differ from the sample mean.

Sample Mean

The average of all numerical values in a sample set, calculated by summing all values and dividing by the number of values.

Level of Confidence

The probability or degree of certainty that the result of a statistical test or estimate falls within a specific range.