Hypothesis Test for the Difference Between Two Population Means You were asked to compare your team’s skill level (from its years) with the assigned team’s skill level (from the assigned time frame). You tested the claim that the skill level of your team is the same as the skill level of the assigned team, using a 1% level of significance.  Mean Relative Skill of your team in the years 2013 to 2015 = 1601.28 Mean Relative Skill of the assigned team in the years 1996 to 1998 = 1739.8   Hypothesis Test for the Difference Between Two Population Means: Test Statistic = 33.51 P-value = 0.0    Use the above data to answer the following questions: In general, how is hypothesis testing used to test claims about the difference between two population means? Summarize all important steps of the hypothesis test. This includes: Null Hypothesis (statistical notation and its description in words) Alternative Hypothesis (statistical notation and its description in words) Conclusion of the hypothesis test and its interpretation based on the P-value What are the implications of your findings from this hypothesis test? What is its practical significance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Hypothesis Test for the Difference Between Two Population Means

You were asked to compare your team’s skill level (from its years) with the assigned team’s skill level (from the assigned time frame). You tested the claim that the skill level of your team is the same as the skill level of the assigned team, using a 1% level of significance.

 Mean Relative Skill of your team in the years 2013 to 2015 = 1601.28

Mean Relative Skill of the assigned team in the years 1996 to 1998 = 1739.8

 

Hypothesis Test for the Difference Between Two Population Means:

Test Statistic = 33.51

P-value = 0.0

 

 Use the above data to answer the following questions:

  • In general, how is hypothesis testing used to test claims about the difference between two population means?
  • Summarize all important steps of the hypothesis test. This includes:
    • Null Hypothesis (statistical notation and its description in words)
    • Alternative Hypothesis (statistical notation and its description in words)
    • Conclusion of the hypothesis test and its interpretation based on the P-value
  • What are the implications of your findings from this hypothesis test? What is its practical significance?
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