1. Many people believe that the moon influences the actions of some individuals. A study of dementia patients in nursing homes recorded various types of disruptive behaviors every day for 12 weeks. Days were classified as moon days if they were in a 3-day period centered at the day of the full moon. For each patient, the average number of disruptive behaviors was computed for moon days and for all other days. The hypothesis is that moon days will lead to more disruptive behavior. The data is a follows:

Patient Moon Days Other Days |Difference 3.33 0.27 3.06 3.67 0.59 3.08 2.67 0.32 2.35 3.33 0.19 3.14 3.33 1.26 2.07 3.67 D.11 3.56 4.67 0.3 4.37 2.67 0.4 2.27 6 1.59 4.41 10 4.33 0.6 3.73 11 3.33 0.65 2.68 12 0.67 0.69 -0.02 13 1.33 1.26 0.07 14 0.33 0.23 0.1 15 2 0.38 1.62 The following EXCEL output is provided: Moon Days Other Days Difference Mean 3.022 Mean 0.589333333 Mean 2.432666667 Standard Error 0.386981235 Standard Error 0.114872462 Standard Error 0.377053068 Median 3.33 Median 0.4 Median 2.68 Mode 3.33 Mode 1.26 Mode #NIA Standard Deviation 1.498771878 Standard Deviation 0.444899132 Standard Deviation 1.460320252 Sample Variance 2.246317143 Sample Variance 0.197935238 Sample Variance 2.132535238 Kurtosis 0.189526931 Kurtosis 0.517112402 Kurtosis 0.584033447 Skewness 0.115869713 Skewness 1.21114287 Skewness 0.574808385 Range 5.67 Range 1.48 Range 1.43 Minimum 0.33 Minimum 0.11 Minimum -0.02 Maximum 6 Maximum 1.59 Maximum 4.41 Sum 45.33 Sum 8.84 Sum 36.49 Count 15 Count 15 Count 15