use technology to find the P-value for a right-tailed test with n=21 and test statistic t=2.065
apparently, i don't have a stat calculator or statistical software to use to find the answer. so i need help how to find it by using the t distribution table..
There are t-tables that show values for one-tailed and two-tailed tests. Since the test is right-tailed, this is a one-tailed test. If n = 21, degrees of freedom would be n - 1, which is 20. (I'm assuming this was a one-sample t-test. If not, the degrees of freedom would be different for two-sample t-tests.) Look for the t-test statistic in the table with the above information to determine the p-value (which is the actual level of the test statistic).
I hope this will help.
yea this was a one-sample t-test and thank you for your help. appreciated it!! (:
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To find the P-value for a right-tailed test using the t-distribution table, follow these steps:
Step 1: Determine the degrees of freedom (df)
Degrees of freedom (df) for a t-test is equal to the sample size (n) minus 1. In this case, since n = 21, the degrees of freedom will be 21 - 1 = 20.
Step 2: Locate the critical value in the t-distribution table
The t-distribution table provides critical values for different confidence levels and degrees of freedom. Since we have a right-tailed test, we are interested in finding the critical value that corresponds to the given t-statistic.
Using the t-distribution table, locate the row that corresponds to the degrees of freedom (df = 20) and scan the column until you find the t-statistic value closest to 2.065. Let's assume the closest value is 2.086.
Step 3: Determine the area under the curve
The critical value from step 2 represents the t-score below which a certain percentage of the t-distribution lies. To find the area under the curve associated with the critical value, subtract the t-score from 1. In this case, 1 - 0.9905 = 0.0095. This means that approximately 0.0095 (or 0.95%) of the t-distribution falls to the right of t = 2.065.
Step 4: Calculate the P-value
Since the area under the t-distribution represents the probability, the P-value is equal to the area under the curve to the right of the t-statistic.
In this case, the P-value would be 0.0095 or 0.95%.
Please note that the values obtained through the t-distribution table are approximations, as the table can only provide a limited number of critical values. To obtain more precise results and perform rigorous statistical analysis, it is recommended to use statistical software or calculators specifically designed for these purposes.