Are random arrivals at a shoe store at the local mall Poisson distributed? Suppose a mall employee researches this question by gathering data for arrivals during one minute intervals on a weekday between 6:30 P.M. and 8:00 P.M. The data obtained follow. Use a = .05 to determine whether the observed data seem to be from a Poisson distribution.

Arrivals per Minute Observed Frequency

0 ...............26

1 ...............40

2 ...............57

3 ...............32

4 ...............17

5 ...............12

6 ............... 8