Question

Suppose you constructed a 90% confidence interval for the true average GPA of California community college students. If all of the sample data were to be held constant, how would this confidence interval compare to an 80% confidence interval based on the same data

Answer 1

Answer: 90% confidence interval for the true average GPA would give a wider range than a 80% confidence interval based on the same data .

Explanation:

An
`a\%` confidence interval indicates that a person can be
`a\%` confident that true population parameter lies in it.

Since Width of interval
`\propto` level of Confidence interval

As level of Confidence interval increases width of interval increases.

So, More level of confidence more width of the interval.

Thus, 90% confidence interval for the true average GPA would give a wider range than a 80% confidence interval based on the same data .