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According to data from Major League Baseball, the mean salary for professional m

ID: 3055433 • Letter: A

Question

According to data from Major League Baseball, the mean salary for professional major league baseball players has been increasing for the past 15 years. A sportswriter looks at the data for all players for the 2002 season and decides to construct a 95% confidence interval for the mean salary for all players for 2002. Which one of the following is the reason why the writer's procedure is incorrect? (A) The sportswriter did not take a simple random sample. (B) A confidence interval should not be constructed when population data are known. (C) Since very few ball players make over $20,000,000 a year, the data are highly skewed, which violates a necessary condition for constructing a confidence interval. (D) Since the number of players is not listed, the degrees of freedom are unknown. (E) Using the data from only one year is not sufficient to verify the trend from previous years.

Explanation / Answer

Here writer is interested in determining whether the salary for all players has increased over the period of 15 years.

In order to do that he only collected the data for all players for the 2002 season. I should also have the data from previous year.

Hence option E is correct.

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