Question

You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 14. Find the critical value that corresponds to a confidence level of 95%. (Report answer accurate to three decimal places with appropriate rounding.)

Answer 1

Given that,

Sample size (n) = 14

Confidence level = 95%

Here Significance level is

= 1- confidence level = 1 - 0.95 = 0.05

And degrees of freedom is,

df= n - 1 = 14 - 1 = 13

The t-critical value for a one tailed t-test, for a significance α=0.05 and df=13 is

tc​=1.771