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A researcher wanted to determine if the stereotype that ‘jocks’ do not perform as well as...

A researcher wanted to determine if the stereotype that ‘jocks’ do not perform as well as other students on school work holds true among college students or whether athletes’ really perform better because they have GPA requirements for participating in their sport. He randomly selected a single sample of 25 athletes from a local university in which the average student has a GPA of 2.9, with a standard deviation of 0.6 GPA points. He computed the athletes’ average GPA and found it to be 2.65. Using an alpha level of .05, test the researcher’s hypothesis.

  1. What would be the most appropriate statistical procedure to evaluate this hypothesis (e.g. z-test for a single individual, z-test for a single sample, t-test for a single sample)?
  2. Why would this be the correct test?
  3. Use the steps of hypothesis testing to evaluate this hypothesis.
    1. State the hypotheses.
    2. Determine the critical value(s) of your statistic for rejecting the null based on the given alpha level/sample size/hypothesis.
    3. Calculate the statistic.
    4. Based on this statistic would you accept or reject the null hypothesis?
  4. If conducting a single sample z-test or a single sample t-test, calculate the effect size.
  5. Draw a conclusion about the overall support provided for the research hypothesis.
Math   Statistics-And-Probability   
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