For a confidence level of $95 \%$ with a sample size of 27 , find the critical $t$ value. Add Work Next Question

Step 1 ：To find the critical t value for a confidence level of 95% with a sample size of 27, we need to use the t-distribution table or a statistical function.

Step 2 ：The degrees of freedom will be the sample size minus 1, which is 26.

Step 3 ：The confidence level of 95% means that the significance level (alpha) is 0.05. However, since we are dealing with a two-tailed test (we are interested in deviation from the mean in either direction), we need to divide alpha by 2, which gives us 0.025.

Step 4 ：We then need to find the t value associated with a cumulative probability of 1 - 0.025 = 0.975 and 26 degrees of freedom.

Step 5 ：The critical t value is approximately 2.056.

Step 6 ：The final answer is: The critical t value for a confidence level of 95% with a sample size of 27 is approximately \(\boxed{2.056}\).