Question

(a) In a trial to prove whether administering a new drug called “Antidode-19” to combat covid-19, increases the level of red blood cells in patients, was tested on 20 patients. The researcher divided the patients in two groups of 10 and administered antidote-19 and standard procedure, respectively to each group. In his study, the researcher used patients aged between 35-40 years, from a pool of newly infected Covid-19 patients. The selected patients were paired to reduce on sources of error. The results of the study is shown below:
treatment
Number of red-blood cells (per ml) in the blood measured after 72hrs of commencent of treatment
Standard treatment
165
180
185
170
180
180
175
178
160
182
Antidote-19
190
210
180
190
185
195
194
185
187
198
Would you advise the Ministry of health to stop using the standard treatment? State your reasons
(b) A feed company claims that a newly formulated medicine reduces death of catfish by 25%. An average of 1.8 deaths is commonly obtained with the existing medicines. Believing this claim, 10 farmers used the new medicine and collected catfish death as follows: 1.5, 1.6, 1.8, 1.2, 1.3, 1.2, 1.2, 1.3, 1.2, and 1.3. Test whether the feed company’s claim is supported by these data at 5% probability.

Answer 1

Let   denotes the  number of red-blood cells (per ml) in the blood measured after 72hrs of commencent of
Standard treatment

Let   denotes the  number of red-blood cells (per ml) in the blood measured after 72hrs of commencent of
Antitode-19

Yes, we would you advise the Ministry of health to stop using the standard treatment as Antidote-19 increases the red blood cells as compare to standard treatment.

Death of catfish is reduced by by 25%.i.e. 25% of 1.8 = 0.45 . This means we have to test the claim that average death of catfish = 1.8 -0.45 = 1.35

So, we have

This means that a newly formulated medicine reduces death of catfish by 25%.