11354 A pharmaceutical company has created a new drug to decrease how long patients suffer from a runny nose while having a cold. It is known that without treatment, on average, people report having a runny nose for 89 hours while having a cold. A test is organised for this new drug, hoping to prove the drug indeed decreases the duration of symptoms: 145 patients use it at the first sign of a runny nose and record how long they suffer from this runny nose; on average the recorded duration is 84 hours. We suppose the observations are independent and identically distributed, and the duration of symptoms during a cold follows an exponential distribution. Thus X. ~ EXP ( )), where X; is the duration of runny nose recorded by patient i, measured in hours. We want to test the efficiency of this drug to decrease the duration of a runny nose. Give appropriate null and alternative hypotheses for this problem. In hours, the null hypothesis is Ho : A while the alternative hypothesis is H1 : / standard function logic vector abc unit O W P O 14 C Clear 1 8 0 (7 4) ENG 6:30 PM 23/10/20