The formula used to calculate a confidence interval for the mean of a normal population is .
What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round
your answers to two decimal places.)
(a) 95% confidence, n = 18
(b) 99% confidence, n = 26
(a) 90% confidence, n = 11
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To find the appropriate t critical value, we need to consider the confidence level and the sample size.
(a) 95% confidence, n = 18:
For a 95% confidence level with a sample size of 18, we need to find the t-score corresponding to a 95% confidence level and 17 degrees of freedom (n-1). Using a t-table or calculator, the t critical value is approximately 2.110.
(b) 99% confidence, n = 26:
For a 99% confidence level with a sample size of 26, we need to find the t-score corresponding to a 99% confidence level and 25 degrees of freedom (n-1). Using a t-table or calculator, the t critical value is approximately 2.787.
(a) 90% confidence, n = 11:
For a 90% confidence level with a sample size of 11, we need to find the t-score corresponding to a 90% confidence level and 10 degrees of freedom (n-1). Using a t-table or calculator, the t critical value is approximately 1.812.
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