Question

In the following studies, state whether the one-sample t test is an appropriate test statistic to analyze data. If not, then explain why it is not appropriate.

(a) a study testing whether night-shift workers sleep the recommended 8 hours per day

a one-sample t-test is appropriatea OR one-sample t-test is not appropriate because a specific standard or criteria is not identified    

(b) a study measuring differences in attitudes about morality among people who self-identify as liberal or conservative

a one-sample t-test is appropriatea OR one-sample t-test is not appropriate because a specific standard or criteria is not identified    

(c) a study evaluating the body mass index (BMI) score of athletes compared to the general population

a one-sample t-test is appropriatea OR one-sample t-test is not appropriate because a specific standard or criteria is not identified    

Answer 1

(a) Appropriate because we are testing the sample data with population mean of 8 hours per day where we have an unknown populations standard deviation. So, one sample t test is appropriate

(b) one-sample t-test is not appropriate because we are comparing two means from two different samples and one sample t test is not appropriate for comparing two means. . So, one sample t test is not appropriate

(c) Appropriate because we are testing the sample data with population mean BMI where we have an unknown populations standard deviation. So, one sample t test is appropriate