Final answer:
It is indeed likely that the collective stay of 80 women in the hospital, with an average stay exceeding 5 days, sums up to more than a year, as the minimum calculated total is 400 days, which is greater than 365 days.
Step-by-step explanation:
The question asks whether it is likely that 80 women, with an average stay of more than 5 days in the hospital, collectively stayed for more than a year.
One year has 365 days, so to find out whether the collective stay exceeded this number, we multiply the average stay by the number of women.
With an average stay of more than 5 days, the minimum collective stay can be calculated by assuming each woman stayed exactly 5 days.
Multiplying 5 days by 80 women gives us 400 days, which is more than a year. Considering they stayed more than 5 days each on average, the actual total would be even higher.
Therefore, the statement "If we were to sum up the women's stays, is it likely that collectively, they spent more than a year in the hospital?" is true.
Since 400 days exceed the number of days in a year, and the average is greater than 5 days, it's guaranteed that their total stay surpasses 365 days.