Answers on page 437. 13.8 Assume that, on average, healthy young adults dream 90 minutes each night, as inferred from a number of measures, including rapid eye movement (REM) sleep. An investigator wishes to determine whether drinking coffee just before going to sleep affects the amount of dream time. After drinking a standard amount of coffee, dream time is monitored for each of 28 healthy young adults in a random sample. Results show a sample mean, X , of 88 minutes and a sample standard deviation, S, of 9 minutes. a. Use t to test the null hypothesis at the .05 level of significance. b. If appropriate (because the null hypothesis has been rejected), construct a 95 percent confidence interval and interpret this interval