A researcher in interested in whether students who are musicians have higher intelligence test scores than students in the general population.The researcher predicts that playing a musical instrument is associated with higher intelligence test scores.The researcher selects a sample of 75 musicians from local high schools and gives them an intelligence test.She compares their average intelligence to that of students in the general population and finds that z_obt = +1.92.This is a _____ test and the researcher should conclude _____. A)one-tailed; that students who are musicians score significantly higher on intelligence tests B)two-tailed; that students who are musicians score significantly higher on intelligence tests C)one-tailed; that students who are musicians do not score significantly higher on intelligence tests D)two-tailed; that students who are musicians do not score significantly higher on intelligence tests

Question

Quizplus · Accepted Answer

The test is one-tailed because the researcher predicted that playing an instrument is associated with higher intelligence scores, indicating a directional hypothesis that musicians score higher. The obtained z-score of +1.92 indicates that the musicians' average intelligence score is significantly higher than the general population at the .0274 level of significance (one-tailed test). Therefore, the researcher should conclude that students who are musicians score significantly higher on intelligence tests.

A Researcher in Interested in Whether Students Who Are Musicians