A researcher is interested in whether people are able to identify emotions correctly when they are extremely tired. It is known that, using a particular method of measurement, the accuracy ratings of people in general population (who are not extremely tired) are normally distributed with a mean of 82 and a variance of 20. In the present study, however, the researcher arranges the test 50 individuals was 78. Using the .05 level, what should the researcher conclude? (a) Carry out a Z test using the five steps of hypothesis testing.