For a 1 Sample T test, when the sample size is 10, what type of distribution do we use to find the p-value?

For a 1 Sample T test, when the sample size is 10, we use the t-distribution to find the p-value. Here are the steps:

1. First, calculate the sample mean (x̄) and the sample standard deviation (s).

2. Then, calculate the test statistic (t) using the formula: t = (x̄ - μ) / (s/√n), where μ is the population mean, and n is the sample size.

3. After calculating the test statistic, we then refer to the t-distribution table. Since our sample size is 10, we use 9 degrees of freedom (n-1) in the t-distribution table.

4. Look up the calculated t-value in the t-distribution table under the appropriate degrees of freedom to find the p-value.

5. The p-value is the probability that you would have found the current result if the null hypothesis were true. So, if the p-value is less than your significance level (usually 0.05), you reject the null hypothesis.