Montgomery, Applied Statistics and Probability for Engineers, 7e Heln I System A
ID: 2906843 • Letter: M
Question
Montgomery, Applied Statistics and Probability for Engineers, 7e Heln I System Announcements PRINTER VERSION BACK NEXT Your answer is partially correct. Try again The number of calls arriving at a switchboard from noon to 1 p.m. during the business days Monday through Friday is monitored for six weeks (i.e. 30 days). Let X be defined as the number of calls during that one-hour period. The relative frequency of calls was recorded and reported as: 5 6 8 910 11 12 13 14 15 Values Rel. Freq. 0.067 0.067 0.100 0.133 0.200 0.133 0.133 0.067 0.033 0.067 Does the assumption of a Poisson distribution seem appropriate as a probability model for these data? Perform a goodness-of-fit procedure with a 0.05. Note: Please combine cells to the following categories: 7 or less, 8, 9, 10, 11, 12 or more (a) Calculate the test statistic . Round your answer to two decimal places (e.g. 98.76) 5.737 the absolute tolerance is +/-0.01 appropriate model? Yes. v the absolute tolerance is +/-0.01Explanation / Answer
a)
Chi square test statistic(X2)
X2 Test statistic = 0.16
Category Observed(O) Expected(E) (O - E)2 / E 7 or less 0.134 1/6 0.0064 8 0.100 1/6 0.0267 9 0.134 1/6 0.0064 10 0.200 1/6 0.0066 11 0.133 1/6 0.0068 12 or more 0.300 1/6 0.1066 1 1 0.16