1)

Determine thet-value in each of the cases.

(a) Find thet-value such that the area in the right tail is 0.05 with 16 degrees of freedom.

__________(Round to three decimal places asneeded.)

2)

Determine the point estimate of the population mean and margin of error for the confidence interval.

Lower bound is 21, upper bound is 29.

The point estimate of the population mean is ____________

3)

A simple random sample of size n is drawn from a population that is normally distributed. The samplemean, x, is found to be 110, and the sample standarddeviation, s, is found to be 10.

(a) Construct an 80% confidence interval about if the samplesize, n, is 12.

(b) Construct an 80% confidence interval about if the samplesize, n, is 29.

(c) Construct a 90% confidence interval about if the samplesize, n, is 12.

(d) Could we have computed the confidence intervals in parts(a)-(c) if the population had not been normallydistributed?