Explanation:
To find the critical value t for a 95% confidence interval, we need to determine the degrees of freedom (df) and refer to the t-distribution table.
In this case, since we are working with a small sample size, we use the t-distribution rather than the z-distribution. The formula to calculate the degrees of freedom for a sample is (n - 1), where n is the sample size.
Given the sample data, we have a sample size of 8. Therefore, the degrees of freedom (df) would be (8 - 1) = 7.
Now, we can refer to the t-distribution table or use statistical software to find the critical value t at a 95% confidence level and 7 degrees of freedom.
Looking at the t-distribution table, the closest critical value to a 95% confidence level with 7 degrees of freedom is approximately 2.365.
Therefore, the correct answer is C. 2.365.