Find a solution to the following problem Be sure to include

Find a solution to the following problem. Be sure to include all relevant information for each of the following problems, including hypotheses, critical value, degrees of freedom, and a statement about significance.

- A researcher hypothesizes that people who listen to music via ear buds have greater hearing loss than those in the general population. On a standard hearing test, the mean (?) is 24.75. Higher values indicate better hearing; lower values indicate greater hearing loss or worse hearing. The researcher gave this same test to a random sample of 30 individuals who regularly use ear buds. Their average score on the hearing test is 21.57, s = 3.85. Determine if using ear buds significantly reduces hearing.

Solution

H0: mean>=24.75

H1: mean <24.75

here we have to use t test

test value=(21.57-24.75)/(3.85/sqrt30)=-4.5240

here dehrees of frredom=29

level of significance=0.05

critical value=t(0.05,29)=-1.6991

rejection region: <-1.6991

as test value<-1.6991

we can reject null hypothesis

so mean <24.75

so ear buds reduses hearing level below average population. hece we can say ear buds signifcantly reduces hearing