Question

Elmo likes music. He wondered if listening to music while studying will improve scores on an exam. Fifty students who were to take the midterm in a week agreed to be part of a study. Half were randomly assigned to listen to classical music while studying for the exam. The other half were told not to listen to any music while studying for the exam. A hypothesis test is to be performed to determine if the average score of those listening to music while studying for the exam was higher than for those who did not listen to any music while studying for the exam. Let X be the midterm scores of those who listened to classical music while​ studying, and Y be the midterm scores of those who did not listen to any music while studying. Which of the following is the correct null​ hypothesis?

Choose the correct answer below.

A.

Upper H 0 :

mu Subscript Upper X

equalsmu Subscript Upper Y

B.

Upper H 0 :

Upper X overbar minus Upper Y overbar

equals

0

C.

Upper H 0 :

mu Subscript Upper X

equals

0

and

mu Subscript Upper Y

equals

0

D.

Upper H 0 :

mu Subscript Upper X

greater thanmu Subscript Upper Y

Answer 1

X be the midterm scores of those who listened to classical music while​ studying,

Y be the midterm scores of those who did not listen to any music while studying

A hypothesis test is to be performed to determine if the average score of those listening to music while studying for the exam

(x ) was higher than for those who did not listen to any music while studying for the exam.( y )

So ,

Null hypothesis ( H0 ) : $\mu$ X = $\mu$ Y

Answer : Option ( A )