The results from an independent-measures research study are being used to estimate how much difference there is between two treatments. If the study used a total of n = 10 participants, then the t values for a 90% confidence interval would be __________.
Your subject is statistics, not college.
To determine the t values for a 90% confidence interval with n = 10 participants, you need to use the t-distribution table or a statistical software.
Step 1: Find the degrees of freedom (df).
The degrees of freedom (df) in this case is calculated as the sum of the number of participants in each group minus 2 (n1 + n2 - 2). Since you are comparing two treatments, you would divide the participants equally between the two groups. Therefore, each group would have n/2 participants, which in this case is 10/2 = 5. So, your degrees of freedom would be 5 + 5 - 2 = 8.
Step 2: Determine the critical t-value.
Next, you need to find the critical t-value for a 90% confidence interval with 8 degrees of freedom. Assuming a two-tailed test, you would divide the confidence level (90%) by 2 to get a critical alpha level of 0.05. Then, consult a t-distribution table or use statistical software to find the t-value that corresponds to this critical alpha level and degrees of freedom.
For example, using a t-distribution table, you might find that the critical t-value at alpha = 0.05 and df = 8 is approximately 2.306.
Step 3: Calculate the t values for the confidence interval.
To calculate the t values for the confidence interval, you would multiply the critical t-value from step 2 by the standard error of the difference between the means (SE). The SE depends on the sample means, standard deviations, and sample sizes for each treatment group. Without knowing these specific values, it's not possible to calculate the exact t values.
In summary, to find the t values for a 90% confidence interval with n = 10 participants, you need to determine the degrees of freedom, find the critical t-value using a t-distribution table or statistical software, and then calculate the t values using the critical t-value and SE.