14.11 The number of times a machine broke down each week was observed over a period of 100 weeks and recorded in the accompanying table. It was found that the average number of breakdowns per week over this period was 2.4. Test at the 10% level the null hypothesis that the population distribution of breakdowns is Poisson.

Number of breakdowns 0 1 2 3 4 5 or more Number of weeks 11 23 33 22 5 6