In a study conducted at Appalachian State University, students used digital oral thermometers to record their temperatures each day they came to class. A randomly selected day of student temperatures is provided in the following table and in the data frame StatTemps. Information is also provided with regard to subject gender and the hour of the day when the studentsâ€™ temperatures were measured.
(a) Construct a 95% confidence interval for the true average temperature difference between males and females. Does the interval contain the value zero? What does this suggest about gender temperature differences?
(b) Construct a 95% confidence interval for the true average temperature difference between students taking their temperatures at 8 a.m. and students taking their temperatures at 9 a.m. Give a reason why one group appears to have a higher temperature reading.