Question
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
A. 2.518
B. 2.508
C. 2.500
D. 2.189
E. 2.183
Answers
GPT 3.5
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.
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.