Prothrombin time is a measure of the clotting ability of blood. For 10 rats treated with an antibiotic and 10 control rats, the prothrombin times (in seconds) were reported as follows43:

(a) Construct a 90% confidence interval for the difference in population means. (Assume that the two populations from which the data came are normally distributed.)
(b) Why is it important that we assume that the two populations are normally distributed in part (a)?
(c) Interpret the confidence interval from part (a) in the context of this setting.

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Antibiotic Control 10 25 10 10 23 rt