How does the length of the 95% t confidence interval compare with that of the 95%...

How does the length of the 95% t confidence interval compare with that of the 95% z confidence interval? Very confused on this

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Expert Solution

The length of the 95% t confidence interval is always greater than or equal to the 95% z confidence interval.

If the sample size is very small, then the length of the 95% t confidence interval will be greater than the 95% z confidence interval.

As we increase sample size, the length of the 95% t confidence interval will be decrease.

For very large sample size, the length of the 95% t confidence interval and 95% z confidence interval will be approximately same.

For example, for sample size n = 10,000, both confidence intervals will be same. There length of the both confidence intervals will be same.

But, for sample size of n = 10, there will be bigger difference in the both intervals.

orchestra answered 1 year ago

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