Question

1. Researchers were interested in whether a 5-yard running start would result in statistically different 40-Yard Dash values than a 3-point stance start. Data was collected from all subjects (n = 15) completing each method of sprint start.  

40-Yard Dash Time	3-Point Stance Start (s)		5-Yard Running Start (s)
X ± SD	5.28 ± .67		4.76 ± .56
df = 14		SE = .212

1. What are your null and alternative hypotheses in words and notation format? Be specific and be careful to specify whether you are talking about the population or sample.

2. What type of t-test are you going to run on the following data?

3. What is your test statistic and your critical value?

4. Is your p-value above or below 0.05?

5. Do you reject the null or refuse to reject the null hypothesis?

6. What are the 95% confidence intervals of the population mean difference?

Answer 1

1. What are your null and alternative hypotheses in words and notation format? Be specific and be careful to specify whether you are talking about the population or sample.

1. What type of t-test are you going to run on the following data?

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

1. What is your test statistic and your critical value?

t-test statistic = (5.28 - 4.76)/0.212= 2.45

The t-critical value is 2.145.

1. Is your p-value above or below 0.05?

below 0.05

1. Do you reject the null or refuse to reject the null hypothesis?

reject the null hypothesis

1. What are the 95% confidence intervals of the population mean difference?

= (5.28 - 4.76) 2.145*0.212

= 0.065, 0.975

The 95% confidence interval of the population mean difference is between 0.065 and 0.975.

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