Yes and no. Exporting visit trends over 5 landing pages and a month? Sure. Exporting page views for 100,000 products each of whom got 5-100 views? Then that 5

Yes and no. Exporting visit trends over 5 landing pages and a month? Sure. Exporting page views for 100,000 products each of whom got 5-100 views? Then that 5% sample is going to exclude most products. The latter approach is however necessary if you're trying to determine how each product category is really performing. Two alternatives I prefer to Google Analytics Premium (once you get to that size): Webtrekk, a small but competent German company whose product costs around 1/10th as much per year, has a fraction of the bugs, and does reliable unsampled daily dumps (moving to hourly, I believe), although the UI is a little less intuitive; and a self-hosted Piwik instance, so you don't need to worry about data exports. The truth is modern relational databases are incredibly powerful and will easily scale even with information like impressions in onsite search. There are multi-TB instances of Postgres out there. I really suggest installing either in parallel to GA or on their own when you set up tracking. I do agree with you that anybody involved in any kind of job that includes "analytics" in the title, or indeed most people in management, should take an intro stats course. I particularly like Introduction to Statistical Learning because of its brevity, relatively high abstraction level, and lack of maths.