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Suppose that the batting average for all major league baseball players after each team completes 100 games through the season is 0.250 and the standard deviation is 0.35. We want to test the statement that the American League batting average exceeds that of all other major league players. A sample of 49 players taken from the American League reveals a mean batting average of 0.265. Conduct the test at the 5% level of significance by:

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The answer is 0.3.

Tes statistic, z = (X-bar - μ)/σ/√n

Given that X-bar = 0.265, μ = 0.250, σ = 0.35, n = 49

Therefore, z = (0.265 - 0.250)/0.35/√49 = 0.3

What is statistic?

  • The study of data gathering, analysis, interpretation, presentation, and organization is known as statistics. In other words, gathering and summarizing data is a mathematical discipline.
  • Additionally, statistics might be considered a subfield of applied mathematics. However, uncertainty and variation are two crucial and fundamental concepts in statistics.
  • Only statistical analysis can determine the uncertainty and variation in many sectors. The probability, which is a key concept in statistics, essentially determines these uncertainties.

To learn more about statistics visit:

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