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?

Population means for athletes and non-athletes (C) Signup and view all the answers

What does the Independent Samples t Test compare?

Sample means for athletes and non-athletes (A) Signup and view all the answers

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 (D) Signup and view all the answers

What is the null hypothesis for this example?

$H0: \mu_{non-athlete} - \mu_{athlete} = 0$ (C) Signup and view all the answers

What is the alternative hypothesis for this example?

$H1: \mu_{non-athlete} \neq \mu_{athlete}$ (D) Signup and view all the answers

What does µathlete represent in the hypotheses?

The population mean for athletes (A) Signup and view all the answers

What does the Independent Samples t Test compare?

The difference between the sample means for mile time among athletes and non-athletes (C) Signup and view all the answers

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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.