The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 59 online students and...

The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 59 online students and finds that the sample mean is 29.4 with a standard deviation of 2.1. Conduct a hypothesis test at the 5% level.

A:  What is the test statistic? round  answer to three decimal places.)

B:  Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to two decimal places.)