Part I: Example One
Step One: Identify null hypothesis and alternative hypothesis.
- Null hypothesis:
- Alternative hypothesis:
Step Two: Calculate the means for both samples.
Step Three: Calculate the variance for both samples.
Calculate the deviation for each data point.
Square these deviations.
Calculate the sum of all of these squared deviations.
Divide by the number of data points in the data set minus one.
Variance X1 =
Variance X2 =
Step Four: Calculate the standard deviation for both samples.
- Take the square root of the variance.
Standard Deviation S1 =
Standard DeviationS2 =
Step Five: Determine which type of t-test is most appropriate (student’s t-test versus paired t-test).
Step Six: Use the t-test formula to calculate the t value.Make sure to write out the appropriate formula under this step.
Step Seven: Calculate the degrees of freedom.
Step Eight: Determine if you completed a one-tailed or two-tailed test for significance.
Step Nine: Use the t-table to compare the computed t value with the critical values to determine whether the results are statistically significant.
Step Ten: Reject or accept null hypothesis.
Part II: Assigned Study
Step One: Identify null hypothesis and alternative hypothesis.
- Null hypothesis:
- Alternative hypothesis:
Step Two: Calculate the means for both samples.
Step Three: Calculate the variance for both samples.
Calculate the deviation for each data point.
Square these deviations.
Calculate the sum of all of these squared deviations.
Divide by the number of data points in the data set minus one.
Variance X1 =
Variance X2 =
Step Four: Calculate the standard deviation for both samples.
- Take the square root of the variance.
Standard Deviation X1 =
Standard DeviationX2 =
Step Five: Determine which type of t-test is most appropriate (Student’s t-test versus paired t-test).
Step Six: Use the t-test formula to calculate the t value.
Step Seven: Calculate the degrees of freedom.
Step Eight: Determine if you completed a one-tailed or two-tailed test for significance.
Step Nine: Use the t-table to compare the computed t value with the critical values to determine whether the results are statistically significant.
Step Ten: Reject or accept null hypothesis.