What critical value t* from the t-table would you use for a confidence interval for the mean of the population in each of the following situations? NOTE: The critical value is just another name for the t* values we read off from the type of T Table you have in your notes. (Use 3 decimal places)
(a) A 95% confidence interval based on 4 observations
(b) A 99% confidence interval from an SRS of 9 observations
(c) An 90% confidence interval from a sample of size 16
a) level of confidence = 0.95
level of significance = 0.05
Two-tailed, sample size n=4, degrees of freedom = 3
t-critical value at 0.05 level of significance and 3 df = 3.182
b) level of confidence = 0.99
level of significance = 0.01
Two-tailed, sample size n=9, degrees of freedom = 8
t-critical value at 0.01 level of significance and 8 df = 3.355
c) level of confidence = 0.90
level of significance = 0.10
Two-tailed, sample size n=16, degrees of freedom = 15
t-critical value at 0.10 level of significance and 15 df = 1.753
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