Five students visiting the student health center for a freedental examination during National Dental Hygiene Month were askedhow many months had passed since their last visit to a dentist.Their responses were as follows. 6 19 10 24 27 Assuming that thesefive students can be considered a random sample of all studentsparticipating in the free checkup program, construct a 95%confidence interval for the mean number of months elapsed since thelast visit to a dentist for the population of studentsparticipating in the program. (Give the answer to two decimalplaces.) ( , )

In a study of academic procrastination, the authors of a paperreported that for a sample of 411 undergraduate students at amidsize public university preparing for a final exam in anintroductory psychology course, the mean time spent studying forthe exam was 7.34 hours and the standard deviation of study timeswas 3.90 hours. For purposes of this exercise, assume that it isreasonable to regard this sample as representative of studentstaking introductory psychology at this university.

(a) Construct a 95% confidence interval to estimate μ,the mean time spent studying for the final exam for students takingintroductory psychology at this university. (Round your answers tothree decimal places.)
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(b) The paper also gave the following sample statistics for thepercentage of study time that occurred in the 24 hours prior to theexam.

n =411      x =43.98      s =21.96

Construct a 90% confidence interval for the mean percentage ofstudy time that occurs in the 24 hours prior to the exam. (Roundyour answers to three decimal places.)