Listening to music while taking a test may be relaxing or di

Listening to music while taking a test may be relaxing or distracting. We test 49 participants while listening to music, and they produce a x = 54.36. The mean of the population taking this test without music is 50 (_= 12). (a) Is this a one tailed or two-tailed test? Why? (b) What are our H and H? (c) Compute zobt. (d) With = .05, what is zcrit? (e) Do we have evidence of a relationship in the population? If so, describe the relationship (perform the hypothesis test, showing all seven steps)

Solution

Ho: miu = 50

H1 : miu is different from 50

so this is a 2 tailed test because we are going to see if there is a difference between the mean of population without music and the sample while they are listening to musci

c)

Z= 54.36-50 / [12 / sqrt(49) ]

Z = 2.543

for alpha = 0.05

alpha/2= 0.025[ because it is 2 tailed test]

critical value is 1.96

so we reject Ho if Z > 1.96

conclusion

Z > 1.96 [2.5433] so we reject Ho

conclusion

the sample with music is better than the population without music