According to the National Sleep Foundation, children between the ages of 6 and 11 years should get 10 hours of sleep each night. In a survey of 56 parents of 6 to 11 year olds, it was found that
the mean number of hours the children slept was 8.9 with a standard deviation of 3.2. Does the sample data suggest that 6 to 11 year olds are sleeping less than the required amount of time each night? Use the 0.01 level of significance.