Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time

Question

3 years ago

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Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time

of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.

Mathematics