In a 2016 survey, Americans were asked to name their favorite actor. The most often mentioned living actors are shown below along with their ages in 2016. (John Wayne was number 4 in the list, but we have not included him here because he died in 1979.) One interpretation of the results was that Americans prefer actors older than 30. Do these data support that interpretation?

Actor ........................................ Age in 2016
Tom Hanks ........................................ 60
Johnny Depp ..................................... 53
Denzel Washington .......................... 62
Harrison Ford .................................... 74
Sandra Bullock ................................... 52
Jennifer Lawrence ............................. 26
Clint Eastwood .................................. 86
Brad Pitt ............................................. 53
Julia Roberts ....................................... 49

1. Calculate the sample mean age.
2. Calculate the sample standard deviation.
3. Calculate the standard error of the mean.
4. Use Table B to identify the critical t value for α = .01 for a two-tailed test.
5. Construct a 99% confidence interval around the sample mean.
6. Interpret this confidence interval.