Use gender to assess if there is any difference in duration of hospital stay based on gender.
what is the sample size, mean, standard deviation of the males and females during the 25 days in the hospital (key 1=male, 2= female)
Duration ........Gender
5............. 2
10............ 2
6............. 2
11 ............2
5 .............2
14 ............1
30 ............1
11............ 2
17............ 2
3 .............1
9 .............2
3............. 1
8 .............2
8............. 2
5............. 2
5 .............1
7............. 1
4 .............1
3............. 1
7............. 1
9 .............1
11 ............1
11............ 2
9............. 2
4............. 2
(work)
Male gender mean days in hosp= 14,30,3,3,5,7,4,3,7,9,11 divided by sample size of 11 = 8.72
Female gender mean days in hosp=5,10,6,11,5,11,17,9,8,8,5,11,9,4 divided by sample size of 14 = 8.5
Standard deviation= square root of variance
Variance of 14,30,3,3,5,7,4,3,7,9,11(duration of days in hosp for male patients )=62.618
Square root of 62.618=7.91
Standard deviation= square root of variance
Variance of 5,10,6,11,5,11,17,9,8,8,5,11,9,4 (duration of days in hosp for female patients)=12.115
Square root of 12.115=3.48
Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.
Didn't check the math, but if this is what you did, this and the rest is on point.