ranThe superintendent o f a large suburban high school m ust decide w hether to close the school for at least tw o days due to the spread of flu. If she can confirm a trend in absenteeism, then she w ill close the high school. The follow ing are the num ber o f students absent from the high school on 25 consecutive school days (the data are also available on the text website labeled Absenteeism):

4 4 , 5 6 , 55, 4 0 , 4 2 , 51, 50, 5 9 , 58, 4 5 , 4 4 , 52, 52, 43, 4 8 , 58, 57, 42 , 60, 6 5 , 6 9 , 75, 70, 72, 72 Use the method of runs above and below the median and

α = 0.05 to test the null hypothesis of randomness against the alternative that there is a trend.