Conducting an Independent Samples T-Test Using SPSS
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Questions and Answers

What is the null hypothesis for this example?

  • µnon-athlete − µathlete  = 0 (correct)
  • µnon-athlete − µathlete  < 0
  • µnon-athlete − µathlete  > 0
  • µnon-athlete − µathlete  ≠ 0
  • Which statistical test can be used to compare the mean mile time for athletes and non-athletes?

  • One-way ANOVA
  • Chi-square test
  • Independent samples t-test (correct)
  • Paired samples t-test
  • What is the alternative hypothesis for this example?

  • µnon-athlete − µathlete  > 0
  • µnon-athlete − µathlete  ≠ 0 (correct)
  • µnon-athlete − µathlete  = 0
  • µnon-athlete − µathlete  < 0
  • What do µathlete and µnon-athlete represent in the hypotheses?

    <p>Population means for athletes and non-athletes</p> Signup and view all the answers

    What does the Independent Samples t Test compare?

    <p>Sample means for athletes and non-athletes</p> Signup and view all the answers

    What is the purpose of an Independent Samples t Test in this example?

    <p>To infer whether the means for mile times in the population are significantly different between athletes and non-athletes</p> Signup and view all the answers

    What is the null hypothesis for this example?

    <p>$H0: \mu_{non-athlete} - \mu_{athlete} = 0$</p> Signup and view all the answers

    What is the alternative hypothesis for this example?

    <p>$H1: \mu_{non-athlete} \neq \mu_{athlete}$</p> Signup and view all the answers

    What does µathlete represent in the hypotheses?

    <p>The population mean for athletes</p> Signup and view all the answers

    What does the Independent Samples t Test compare?

    <p>The difference between the sample means for mile time among athletes and non-athletes</p> Signup and view all the answers

    Study Notes

    Hypotheses and Statistical Test

    • The null hypothesis states that there is no significant difference in the mean mile time between athletes and non-athletes, i.e., µathlete = µnon-athlete.
    • The alternative hypothesis states that there is a significant difference in the mean mile time between athletes and non-athletes, i.e., µathlete ≠ µnon-athlete.
    • µathlete and µnon-athlete represent the population mean mile time for athletes and non-athletes, respectively.

    Independent Samples t Test

    • The Independent Samples t Test is used to compare the mean mile time for athletes and non-athletes.
    • This test compares the means of two independent groups, in this case, athletes and non-athletes.
    • The purpose of an Independent Samples t Test in this example is to determine whether there is a significant difference in the mean mile time between athletes and non-athletes.

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    Description

    This quiz is designed to test your knowledge on conducting an independent samples t-test using SPSS. It focuses on comparing the average time to run a mile between athletes and non-athletes based on a sample dataset. Explore the key concepts and steps involved in this statistical analysis.

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