10 Questions
What is the null hypothesis for this example?
µnon-athlete − µathlete = 0
Which statistical test can be used to compare the mean mile time for athletes and non-athletes?
Independent samples t-test
What is the alternative hypothesis for this example?
µnon-athlete − µathlete ≠ 0
What do µathlete and µnon-athlete represent in the hypotheses?
Population means for athletes and non-athletes
What does the Independent Samples t Test compare?
Sample means for athletes and non-athletes
What is the purpose of an Independent Samples t Test in this example?
To infer whether the means for mile times in the population are significantly different between athletes and non-athletes
What is the null hypothesis for this example?
$H0: \mu_{non-athlete} - \mu_{athlete} = 0$
What is the alternative hypothesis for this example?
$H1: \mu_{non-athlete} \neq \mu_{athlete}$
What does µathlete represent in the hypotheses?
The population mean for athletes
What does the Independent Samples t Test compare?
The difference between the sample means for mile time among athletes and non-athletes
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.
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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