In the most showy hint yet that Apple is building a television set, Apple CEO Tim Cook said in a new interview that the TV set was a relic from the past and that his company is intensely interested in changing that.

“When I go into my living room and turn on the TV, I feel like I have gone backwards in time by 20 to 30 years,” Cook said during an interview on Rock Center with Brian Williams . “It’s an area of intense interest. I can’t say more than that.”

Apple analysts have been speculating for years that Apple would release its own TV set, but it has not been released or announced. Piper Jaffray analyst Gene Munster has been particularly bullish on the coming device, predicting Apple will debut its branded television sets in November 2013. He predicted that two versions of the Apple television will come at that time — a 47-inch set and a 55-inch model that should cost between $1,500 to $2,000.