Why might a t test not be very useful in this, Basic Statistics

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Why might a t test not be very useful in this

Please kindly solve this questions for .

Suppose we want to compare the length of hospital stay for patients with the same diagnosis at two different hospitals. The results are shown in the Table.
First hospital: 21, 10, 32, 60, 8, 44, 29, 5, 13, 26, 33
Second hospital: 86, 27, 10, 68, 87, 76, 125, 60, 35, 73, 96, 44, 238
Why might a t test not be very useful in this case?
Carry out a nonparametric procedure for testing the hypothesis that lengths of stay are comparable in the two hospitals.

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