Most experts recommend college students get at least 8 hours of sleep per night. You collect a random sample of 112 students at your college and ask how many hours of sleep they got last night. The sample mean amount of sleep last night was 7.9 hours, with a sample standard deviation of 2.0 hours. The sample distribution of hours of sleep was slightly skewed right. Does this provide evidence that students at your college are getting less than the recommended amount of sleep per night?

Use the Theory-Based Inference applet to determine the probability of observing a sample mean of 7.9 hours or less, assuming the true mean hours of sleep per night is 8 hours. Round to four decimal places.