I am interested in a new career.
I am enrolled in an online computer science program where my favorite subjects currently are programming and statistics (with R!).
What are some of the career opportunities that combine statistics and software engineering?
Are there any suitable for someone older who is contemplating new career?

I am seeing a lot of job announcements for data modelers in finance, healthcare, and marketing. Predictive analytics and data mining are also very hot right now.

Linked In is a good place to see ads for jobs that combine statistics and software engineering. I regularly see job postings that combine these areas in the following groups:

The R Project for Statistical Computing

Advanced Business Analytics, Data Mining and Predictive Modeling

Data Mining, Statistics, and Data Visualization

The New York Times had an article in the last few months, saying that statistics is the new sexy job.
I feel like I should make a joke here, but I can't think of one.

Robert Kabacoff wrote:
The New York Times had an article in the last few months, saying that statistics is the new sexy job.
I feel like I should make a joke here, but I can't think of one.

I suppose if 'sexy' were a data set you could do anything you like with it.

Here is one, "NYT said statistics is the new sexy job. But do yourself a favor and read 'R in Action' first."