Which of the following statement(s) about index funds is false:

the EMH provides a theoretical justification for them

they have high R2 s

they outperform most actively managed funds over a long (ten-year) period of time

Morningstar Mutual Funds groups equity mutual funds into categories based on:

stock size (market capitalization) and manger investment style

fund alphas, fund betas

Sharpe ratios, Treynor ratios

stated prospectus objective, SEC category

they have high expenses