Tiger Woods still believes he has a chance of winning the AT&T National despite sitting 10 shots behind halfway leader Justin Rose. (Woods 28/1 to win in-play)

The world number one is still to find his best form after personal problems kept him off the course for five months and he struggled to a level-par 70 on Friday after carding a 73 on day one in Pennsylvania.

There were no such problems for England’s Rose, who added a 64 to his opening 69 and he sits one shot clear of Australia’s Jason Day and South Korean Charlie Wi, while Americans Jeff Overton and Charley Hoffman are three shots behind on -4.

Woods has played two majors since returning to the Tour and finished joint-fourth at the Masters and the US Open and, while he is clearly still not at the top of his game, he still has the belief that has seen him pick up 14 majors in an illustrious career to date.

“I’ve just got to put together two good rounds and see where that leaves me,” he said. “Greg (Norman) always said if you started six back on Sunday you could still win and that’s certainly within reason.”

Rose now looks back to his best after a below-par start to the season and, having claimed his maiden US Tour success at the memorial back in June, he finished tied for ninth at the Travelers Championship last week, after leading by three shots going into the final round.

With the Ryder Cup on the horizon, another decent finish would see him increase his chances of making Colin Montgomerie’s side (Europe 4/6 to win Ryder Cup) but the 29-year-old will have his eyes on the top prize on Sunday after faltering at the final hurdle seven days ago.