Question

 Two independent groups of patients were given Drug X and Drug Y. The recovery times (in days) are as follows:

           
Drug X 8 10 9 7 11
Drug Y 6 7 5 8 6

 (i) State the null and alternative hypotheses.

(ii) Explain why the Mann–Whitney U test is appropriate for this data.

(iii) Perform the test at the 5% level of significance and draw a conclusion. 

18 Mar 2026
Answer :
Word Count : 932
The problem involves comparing the recovery times of two independent groups of patients treated with Drug X and Drug Y, and the objective is to determine whether there is a statistically significant difference between the two treatments using the Mann–Whitney U test, interpreted within the broader frameworks of classical and Bayesian inference. The null hypothesis in this context states that there is no difference between the distributions of recovery times for the two drugs. In other words, the probability that a randomly selected patient from Drug X has a longer recovery time than a randomly selected patient from Drug Y is equal to the probability of the reverse. Symbolically, this can be expressed as (H_0: F_X = F_Y), where (F_X) and (F_Y) denote the distributions of recovery times for Drug X and Drug Y respectively. The alternative hypothesis states that the two distributions are not equal, implying that one drug tends to produce systematically shorter ________ ____ _____ ______ _______ _____ ______ ______ ________ ________ ________.
________ _____ _______ ________ _______ _________ __________.
_____ ___ ______ __________ ___ ________ _____ _______ __________ ______.
____ _________ ___ _______ ____ __________.
__________ __________ ____ ________ ________ _________ _________ __________ ________ _________ ___.
_______ _______ _______ _____ __________.
_________ _________ __________ _____ ______ __________ _______ _____ ______ _________.
___ _________ _________ _____ __________ _______ ________ _____.
_____ _______ ___ ______ __________ _________ __________ ____ _____ ___ ___.
_______ ________ _____ _____ ___ _________ __________ ___ __________ _____.
______ ______ ___ ____ __________ ________.
___ __________ ___ _____ _______ ____ ___ _______ _____ _________ _____.
________ ___ _____ _________ ______ ____ __________ _______ ___ ___ ________ _____.
___ ______ __________ ______ _________ _______ __________ _______ _________ ______ ____.
_______ _______ _________ _______ ________ ______ _______ __________.
__________ _______ ______ ________ _____.
_________ _________ ______ _________ _________ ___ _______ ______ ___ ____ _______ __________.
______ ________ ________ ___ ______ _______.
_______ ____ ______ ________ _______ ____.
_____ _________ ______ _____ ______ ___ _______ _____ _____ ___.
___ ___ ___ ___ ___ ______ __________ ________ _________ ________ ______ ______.
_______ _____ ___ _________ ______.
________ __________ ______ _______ ___ _________ _________ __________ __________ _______ _______.
__________ ___ ______ _______ ____ _____ ___.
__________ _________ ____ ______ ____ ________ _________ _________.
_________ ____ __________ ______ _______ _________ ________ _______.
______ _____ _____ ____ _____ _____ ________ ________ ______.
_________ _________ ____ ________ ________ _____ ___.
__________ ____ __________ ________ __________ _____ ______.
___ _______ __________ ___ __________ ______ _____.
______ ________ ________ _________ _____ _____.
_____ ____ ____ _________ ________ _____ ______ _______ ______ _______ ______.
____ _______ _________ ______ ____ ____ _________ _______ _____ __________ ____.
_______ ______ _____ ____ __________ ______ ___ __________ ______ ___.
________ _____ ____ ___ _________ ______ ________ _______ _________ _________ ______ __________.
____ ______ ________ ______ ______ __________ _______ _________ ________.
__________ _________ _______ __________ _______ __________.
____ ______ ___ ____ __________ ________ _________ _________ __________ ____.
_____ _______ _________ ___ ________ ____ _______ ____ _________.
__________ _____ ______ _____ ___.
_______ ____ ____ _________ ______ ________.
_____ _______ ________ ___ _________ ___ _________.
____ ___ _____ _______ ___ __________ ______ ________ ____.
______ _______ __________ ___ ___ ____ _______ ____.
__________ ______ ______ ________ ________ ________ _____ ______ _________ ________.
_______ _________ ______ __________ ____ __________ ____ _________ _____ ________ ______.
__________ __________ _____ ________ __________ _________ ___ _____.
_____ ______ ______ _______ _______ ______ ________ __________ ______ ________ _______ _______.
____ ____ ________ ____ __________ _______.
_______ __________ _________ _______ __________ __________ _______ __________ ____ _____.
_____ ___ _______ ______ ___ _____.
_____ ________ ________ ___ ________.
___ _________ ______ ________ ________ _____ ____ __________ ___.
_________ _____ __________ __________ _______.
________ ________ _________ ___ ______ ___ _______ ________ ______ ________ _______ ______.
_____ ___ ____ _______ _________ _____ ___.
____ ____ ______ ____ ____ _______.
_______ ____ _______ ___ ____ ______ __________ ______ ______ ________.
________ _______ ________ ___ _____ ________.
__________ _________ _____ _____ _____ _________ __________ _____ ________ ___ __________ _____.
__________ ___ _______ _________ _______ ________ ______ ___ __________.
__________ _________ __________ ____ _____ ______ ___ _______.
_________ ______ _____ ______ ________ __________ _____ _______ _________ ________ __________.
________ ____ __________ _____ _____ ____ ____.
_____ _________ ________ ___ ______ __________ _____ _______ _________ ____.
________ ______ _____ __________ ____ _____ _______ ____ _____ _____ _______ _____.
__________ _____ ________ __________ __________ ____ ________ __________ ___ _________ ______ ___.
____ ______ ________ _____ ________ _____ _______ ____.
__________ _______ _________ _______ _________ _______ _______ _________ _____.
____ __________ _____ _______ _____ _________ __________.
___ ________ _______ __________ ___ ___.
___ ____ ______ ________ ___ ___.
___ ________ ________ ___ _______ _________ ________ ___ ______ ______.
______ _________ ______ _________ ____ _________ ________ ________ ___.
_____ _______ ______ _______ ________ ___.
__________ _________ _________ _______ ____ ____ ________ _______ _______ __________ _________.
__________ _____ ______ ___ _________ ________ _________ ________ ________ ________ ________ _______.
___ __________ ___ _________ _______ _______ ____ ___ ___ _____ _________ ___.
____ _____ _________ _____ ______ ____ _______ _______ ___ __________.
_________ _________ ______ ______ _______ __________ ________.
_____ _________ ____ ______ _________ ______ ______ _______.
___ ______ ___ __________ __________ __________ ________ _________ ____ ___.
_______ ______ ____ ________ __________ ________ ________ ______ _____ ______.
__________ ____ ____ __________ ____ ___ _____ __________ _____ _______ ___.
________ __________ _______ _________ ___ _________ ___ ______.
______ ____ _________ __________ ____ ______ __________ ___ _______ __________.
________ ________ ___ __________ ____ __________ ________.
______ _________ _____ __________ _______.
_________ __________ ______ ____ _________ ______ ___ ____ _______ __________ ___ ________.
_________ ________ ____.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★
Top
📞
Call Support Instant phone assistance  Two independent groups of patients were given Drug X and Drug Y.
🟢
WhatsApp Chat Fast live messaging
Email Us Business enquiries & support