From "A Jury of Her Peers" and Trifles," given the attitudes of the men, how would you describe the values of this culture?Also, what are these women supposed to know, and what do they really know?
I am not totally clear on the second part of your question, but I may be able to help with the first points.
The men are clearly the dominant leaders of the society in which the story is set. Mrs Hale is only invited along to keep Mrs Peters company while their husbands investigate the strange death of Mr Wright.
"Oh, well," said Mrs. Hale's husband, with good-natured superiority, "women are used to worrying over trifles."
The women are clearly marginalized and are left to the kitchen. It is here, in their realm, that the women unravel the mystery and are able to piece together the events which led to the murder of Mr Wright at the hands of his tortured and embittered wife Minnie.
As the men bluster over their lack of clear direction, the women not only unravel the mystery but collude to cover up Minnie’s involvement in the crime. Here is the significance of the title, they are the ‘jury of her peers’ – women – who would not form part of any criminal proceedings as the weaker sex.
Their eyes met--something flashed to life, passed between them; then, as if with an effort, they seemed to pull away from each other.
The expectation is that the women will know Minnie's household habits and the details of her domestic life. What they are not expected to know is how these details combine to show how she became a killer.