What's the critical value of ( t ^ * ) needed to construct a 98% confidence interval for the mean of a distribution based on a sample of size 22?
A. 2.518
B. 2.508
C. 2.500
D. 2.189
E. 2.183
D. 2.189
To calculate the critical value of t^* for a 98% confidence interval with a sample size of 22, we need to use a t-distribution with degrees of freedom equal to n-1, where n is the sample size.
The degrees of freedom for a sample size of 22 is 22-1 = 21. Using a t-table or calculator, we can find that the critical value for a 98% confidence interval with 21 degrees of freedom is approximately 2.189.