Preheat oven to 425°F (220°C).
In a mixing bowl, combine flour and salt for the crust. Cut in butter until mixture resembles coarse crumbs. Gradually add ice water, tossing with a fork until dough holds together when pressed.
Divide dough in half. Shape each into a disk; wrap and refrigerate for at least 1 hour or overnight.
On a lightly floured surface, roll out one portion of dough to fit a 9-inch pie dish. Transfer dough to pie dish; trim even with edge. Refrigerate while preparing filling.
In a large bowl, toss apples with sugars, cinnamon, nutmeg, lemon juice, and flour. Spoon into crust.
Roll out remaining dough to fit top of pie; place over filling. Trim, seal, and flute edges. Cut slits in top. Bake for 45-50 minutes or until crust is golden brown and filling is bubbly. Cool on a wire rack.